Question

Find the value of x in each of the following proportion:​
(i) $x:4=6:8$

Answer 1

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

$x:4=6:8$

$\Rightarrow$ $\frac{x}{4}=\frac{6}{8}$

$\Rightarrow$$x\times 8=6\times 4$

($\because \text{Product of extremes}$ $=\text{Product of means}$) (1 Mark)

$\Rightarrow$ $x=\frac{6\times 4}{8}=\frac{6\times 4}{4\times 2}=\frac{6}{2}$

$\therefore$ $x=3$(1 Mark)

Hence, the value of $x$ $\text{is}$ $3$.