Question

Find the value of x in each of the following proportion:​
(ii)$14:x=7:9$

Answer 1

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

$14:x=7:9$

$\Rightarrow$ $\frac{14}{x}=\frac{7}{9}$
$\Rightarrow 14\times 9=x\times 7$

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

$\Rightarrow x=\frac{14\times 9}{7}=\frac{7\times 2\times 9}{7}=2\times 9$

$\therefore x=18$

Hence , the value of $x$ $\text{is}$ $18$.