Question

Find the value of x in each of the following proportion:​
(iv)$8:10=x:25$

Answer 1

The given value proportion can be calculated for the value of $x$ as follows

$8:10=x:25$

$\Rightarrow$ $\frac{8}{10}=\frac{x}{25}$
$\Rightarrow 8\times 25=x\times 10$

($\because$ $\text{Product of extremes = Product of means}$)

$\Rightarrow x=\frac{8\times 25}{10}=\frac{4\times 2\times 5\times 5}{5\times 2}=\frac{40}{2}$

$\therefore x=20$

Hence , the value of $x$ $\text{is}$ $20$.