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Fourth proportional to x, 2x, (x+1) is: 

  • a)
    (x+2)

  • b)
    (x-2)

  • c)
    (2x+2)

  • d)
    (2x-2) 

Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Fourth proportional to x, 2x, (x+1) is:a)(x+2)b)(x-2)c)(2x+2)d)(2x-2)C...
Solution:

Let us assume the fourth proportional to x, 2x, (x+1) be y.

According to the definition,

Fourth Proportional = (Third Proportional x Fourth Term) / (Second Term)

Given that,

x, 2x, (x+1) are in proportion

Therefore,

x/2x = (x+1)/y

Simplifying the above equation, we get

y = (2x(x+1))/x

y = (2x^2 + 2x)/x

y = 2x(x+1)/x

y = 2(x+1)

Therefore, the fourth proportional to x, 2x, (x+1) is 2(x+1)

Hence, the correct answer is option (c) (2x+2)
Free Test
Community Answer
Fourth proportional to x, 2x, (x+1) is:a)(x+2)b)(x-2)c)(2x+2)d)(2x-2)C...
LET X/2X=(X+1)/a
X*a=(X+1)*2X
X*a=2X*X+2X
X*a-2X=2X*X
X(a-2) =2X*X
X(a-2)/X=2X
a-2=2X
Hence, a=2X+2
ANSWER= 2X+2
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Fourth proportional to x, 2x, (x+1) is:a)(x+2)b)(x-2)c)(2x+2)d)(2x-2)Correct answer is option 'C'. Can you explain this answer?
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