Question

In a proportion the first, second and third terms are $6$,$18$,$25$ respectively . The fourth term is ……………….. .

Answer 1

It is given that,
In a proportion the first, second and third terms are $6$,$18$,$25$ respectively . The fourth term is ……………….. .

Let assume that the fourth term is $x$.

Now Consider,

$6,18,25,x$are terms in proportion.

Note : We know that the product of means equals the product of extremes if the given terms are in proportion.

So, $18\times 25=6\times x$

Rewrite as,

$6\times x=18\times 25$

$6\times x=450$

Transpose $6$ to the R.H.S

$x=\frac{450}{6}$ ( on dividing $450by6$ we get $75$ )

$x=75$.

Hence, the value of $xis75$.