If the first, second and third terms of a proportion are respectively 45, 6 and 15, find the fourth term.

Given:

First, second and third terms of the proportion are 45, 6 and 15 respectively.

To find:

We have to find the fourth term of proportion.

Solution:

Let the fourth term be equal to 'a'.

So, the proportion will be:

45 : 6 :: 15 : a

Now, to calculate the value of 'a' we can use the below property:

$Product\ of\ means\ =\ Product\ of\ extremes$

$6\ \times \ 15\ =\ 45\ \times \ a$

$90\ =\ 45\ \times \ a$

$\frac{90}{45} \ =\ a$

$\mathbf{2\ =\ a}$

So, the fourth term of the proportion is 2.

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Updated on: 10-Oct-2022

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