Question

State whether true or false
Fourth proportion of $2\frac{1}{2},1\frac{1}{4}$ and $3\frac{1}{3}$ is $1\frac{2}{3}$.

• A. True
• B. False

Answer 1

The correct option is A True

In $a:b::c:d;d$ is the fourth proportional.
For, $2\frac{1}{2}:1\frac{1}{4}::3\frac{1}{3}:d$, product of extremes $=$ product of means
$2\frac{1}{2}\times d=1\frac{1}{4}\times 3\frac{1}{3}$

$\frac{5}{2}\times d=\frac{5}{4}\times \frac{10}{3}$

$d=\frac{\frac{5}{4}\times \frac{10}{3}}{\frac{5}{2}}=\frac{5}{3}=1\frac{2}{3}$