Question

Which ratios can make a proportion. 3/5 and 9/25. 4/10 and 10/25. 4/11 and 6/13. 4/9 and 9/4

Answer 1

The ratios that they can make a proportion will be that which

`\begin{gathered} (a)/(b)=r=(c)/(d) \\ \text{ Where r is the constant of proportionality} \end{gathered}`

So, you have

First ratios

`(3)/(5)=0.6\\e0.36=(9)/(25)`

Second ratios

`(4)/(10)=0.4=(10)/(25)`

Third ratios

`(4)/(11)=0.36\\e0.46=(6)/(13)`

Fourth ratios

`(4)/(9)=0.4\\e2.25=(9)/(4)`

Then, as you can see, the ratios that share a constant of proportionality and that make a proportion are

`(4)/(10)\text{ and }(10)/(25)`

Therefore, that is the correct answer.