What is the mean proportional between the fourth proportional of 1 : 2 7 and 14 16 2401

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What is the mean proportional between the fourth proportional of 1 : 2 7 and 14 16 2401

The mean proportional between 9 and 16 is.

Question

A

8

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B

12

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C

16

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Solution

The correct option is B 12Let the mean proportional between 9 and 16 be x. ⇒4: x :: x: 16 9x = x16 x2=16×9=144 x=√144 ⇒x=12

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How do you find the mean proportion between the fourth proportion?

The mean proportional between the two terms of a ratio in a proportional is the square root of the product of these two. For example, in the proportion a:b :: c:d, we can define the mean proportional for the ratio a:b as the square root of the product of the two terms of the ratio or √ab.

What is the fourth proportional of the mean?

We can write it as w:x = y:z. The quantity z is known as fourth proportional to the quantities w, x, and y. For example, if we write the quantities 7,8,9, and 10 in the proportional form 7:8 :: 9:10, then 10 is the fourth proportional to 7, 8, and 9.

How do you find the mean proportion between?

Following are the steps to find a Mean proportion between any two numbers:.
Multiply the two given together..
Calculate the square root out of their product, and it will be the Mean proportion..
The resultant answer will be the Mean proportion..

How do you find the fourth proportion?

We know that if four numbers a, b, c and d are in proportion then the ratio of the first two must be equal to the ratio of the next i.e. a:b=c:d or a:b::c:d. Here d is the fourth proportion.