Question

Determine if the following ratios form a proportion

$2cm:34mm::1200g:2kg40g$.

Answer 1

Comparison of ratios:

Two ratios are said to be in proportion if they are equal

$$\begin{gathered} \Rightarrow 2cm:34mm=\frac{2cm}{34mm}=\frac{20mm}{34mm}=\frac{10}{17} \\ \Rightarrow 1200g:2kg40g=\frac{1200g}{2kg40g}=\frac{1200g}{2000g+40g}=\frac{{\displaystyle 1200}}{{\displaystyle 2040}}=\frac{{\displaystyle 100}}{{\displaystyle 170}}=\frac{10}{17} \end{gathered}$$(Since, $1cm=10mmand1kg=1000g$ )

Hence, the ratios $2cm:34mm::1200g:2kg40g$ from a proportion.