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The fourth proportional to 2a, a3, c is
- a)ac/2
- b)ac
- c)2/ac
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The fourth proportional to 2a, a3, c isa)ac/2b)acc)2/acd)none of these...
Let the 4th proportional be x.
Then, 2a : a^2 = c : x
==> (2a)*x = a^2*c
==> x = ac/2
This question is part of UPSC exam. View all CA Foundation courses
Most Upvoted Answer
The fourth proportional to 2a, a3, c isa)ac/2b)acc)2/acd)none of these...
Given: 2a, a3, c
To find: Fourth proportional
Formula: Fourth proportional of a, b, c, d is given by (a*b*c)/d.
Calculation:
- The fourth proportional to 2a, a3, c is given by (2a * a3 * c) / d.
- To find 'd', we need to first find the third proportional to 2a and a3.
- The third proportional to 2a and a3 is given by (a3/a) * 2a = 2a2.
- Substituting this value in the formula, we get (2a * a3 * c) / 2a2.
- Simplifying the expression, we get ac/2 as the fourth proportional.
Therefore, the correct answer is option 'A' (ac/2).
To find: Fourth proportional
Formula: Fourth proportional of a, b, c, d is given by (a*b*c)/d.
Calculation:
- The fourth proportional to 2a, a3, c is given by (2a * a3 * c) / d.
- To find 'd', we need to first find the third proportional to 2a and a3.
- The third proportional to 2a and a3 is given by (a3/a) * 2a = 2a2.
- Substituting this value in the formula, we get (2a * a3 * c) / 2a2.
- Simplifying the expression, we get ac/2 as the fourth proportional.
Therefore, the correct answer is option 'A' (ac/2).
Community Answer
The fourth proportional to 2a, a3, c isa)ac/2b)acc)2/acd)none of these...
Right answer is d) Sol - Let the fourth proportion be x, So, 2a/a^3 = c/x We get, x = (a^2) c/2
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The fourth proportional to 2a, a3, c isa)ac/2b)acc)2/acd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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