Determine whether the following numbers are in proportion or not$:$

$\frac{1}{3},\frac{1}{4},\frac{1}{6},\frac{1}{7}$

Step $1:$ To check whether the given numbers are in proportion or not

As we know that any four numbers $a,b,c$ and $d$ are said to be in proportion if and only if

$\frac{a}{b}=\frac{c}{d}$

Step $2:$ Given four numbers are $\frac{1}{3},\frac{1}{4},\frac{1}{6},\frac{1}{7}$

Find the ratio of first and second number

$=\frac{{\displaystyle \frac{1}{3}}}{{\displaystyle \frac{1}{4}}}$

$=\frac{4}{3}$

Step $3:$Now find the ratio of third and fourth number

$=\frac{{\displaystyle \frac{1}{6}}}{{\displaystyle \frac{1}{7}}}$

$=\frac{7}{6}$

therefore the ratio of first term to second term is not equal to the ratio of third term to fourth term

$\frac{4}{3}$$\ne \frac{7}{6}$

Hence, the given four numbers $\frac{1}{3},\frac{1}{4},\frac{1}{6},\frac{1}{7}$ are not in proportion.