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The fourth proportional to 2a, a^2, c is a) ac/2 b) ac c) 2/ac d) none of these The correct answer is option 'a' Can you please explain the answer?
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The fourth proportional to 2a, a^2, c is a) ac/2 b) ac c) 2/ac d) none...
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The fourth proportional to 2a, a^2, c is a) ac/2 b) ac c) 2/ac d) none...
A/b=c/d
a=2a
b=a^2
c=(c)
d=?
2a/a^2=(c)/d
Cross multiplication
2a x d = a^2 x c
d = a^2 x c / 2a (a^2 - a = a)
d = ac/2
I hope you understand this answer
Community Answer
The fourth proportional to 2a, a^2, c is a) ac/2 b) ac c) 2/ac d) none...
The given question requires finding the fourth proportional to three given values: 2a, a^2, and c. The options provided are ac/2, ac, 2/ac, and none of these. We need to determine which option is the correct answer.
To find the fourth proportional, we can set up a proportion and solve for the unknown value. Let's denote the fourth proportional as x.
The given values are:
First term (a): 2a
Second term (b): a^2
Third term (c): c
Fourth term (x): unknown
Setting up a proportion, we have:
(2a) / (a^2) = c / x
Now, let's solve for x by cross-multiplying and simplifying the equation:
2a * x = (a^2) * c
2ax = a^2c
Dividing both sides of the equation by 2a, we get:
x = (a^2c) / (2a)
Simplifying further, we obtain:
x = ac/2
Therefore, the correct answer is option 'a' (ac/2).
To summarize:
- The given values are 2a, a^2, and c.
- Setting up a proportion, we have (2a) / (a^2) = c / x.
- Cross-multiplying and simplifying the equation, we find x = ac/2.
- Hence, the correct answer is option 'a'.
To find the fourth proportional, we can set up a proportion and solve for the unknown value. Let's denote the fourth proportional as x.
The given values are:
First term (a): 2a
Second term (b): a^2
Third term (c): c
Fourth term (x): unknown
Setting up a proportion, we have:
(2a) / (a^2) = c / x
Now, let's solve for x by cross-multiplying and simplifying the equation:
2a * x = (a^2) * c
2ax = a^2c
Dividing both sides of the equation by 2a, we get:
x = (a^2c) / (2a)
Simplifying further, we obtain:
x = ac/2
Therefore, the correct answer is option 'a' (ac/2).
To summarize:
- The given values are 2a, a^2, and c.
- Setting up a proportion, we have (2a) / (a^2) = c / x.
- Cross-multiplying and simplifying the equation, we find x = ac/2.
- Hence, the correct answer is option 'a'.
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The fourth proportional to 2a, a^2, c is a) ac/2 b) ac c) 2/ac d) none of these The correct answer is option 'a' Can you please explain the answer?
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