Question

If the first second and fourth terms of a proportion are 24,21 and 14 find the third one

Answer 1

Step-by-step explanation:

Given: The first second and fourth term of a proportion are 24 ,21 and 14 respectively.

To find: The third term

Solution:

Let the third term of the proportion be x.

So, we have 24:21 ::x:1424:21::x:14

Now, we know that the four terms are in proportion. And we know that when four terms are in proportion, the product of extremes is equal to the product of means. So, we have

24\times14=21\times x24×14=21×x

\implies x=\frac{24\times14}{21}⟹x=2124×14

\implies x=16⟹x=16

Answer 2

Step-by-step explanation:

let the third one be x

in this type of questions

product of middle terms is equal to the product of end terms