Question

Find the ratio between the 3rd proportional of 4, 5 and the 4th proportional of 3, 6, 18.

Answer 1

Answer:

the proportional of 3rd=6

and 4th proportional is 1:2:6 is the solution .

Answer 2

Concept-

Use the concept of ratio and proportion. A ratio is a comparison of two quantities. A proportion is the equality of two ratios. How to Write a Ratio: Determine whether the ratio is part to part or part to whole.

Given-

The given numbers are 4,5 and 3,6,18.

Find-

Find the ratio between the 3rd power of 4, 5 and the 4th power of 3, 6, 18 is-

Solution-

The first question is what is the third proportional to 4 and 5.

We know that if a and b are two numbers and the third proportional to a and b is x, then

a:b :: b:x

a/b = b/x

Here a = 4 and b = 5

we can write

4:5 :: 5:x

4/5 = 5/x

By cross multiplication,

4x = 25

x = 25/4

The second question is what is the fourth proportional to 3,6,18.

Let the fourth quotient of 3,6,18 be y.

Then, 3:6 :: 18:y

8/6 = 18/y

By cross multiplication,

3 × y = 18 × 6

y = 18 × 6 / 3

y = 36

Now the ratio between the 3rd share is 4.5 and the 4th share is 3.6.18

25/4 / 36 = 25 / 4 × 36 = 25 / 144 = 25 : 144

Now the ratio between the third proportion 4,5 and the fourth proportion 3,6,18 is 25:144.

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