Question

) If a : b :: c : d can we say that ac = bd?​

Answer 1

Answer:

The statement $a:b::c:d$ can be simplified to

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

Let us cross multiply and we get

$ad=bc$

So, $a:b::c:d$ does not imply $ac=bd$  but implies  $ad=bc$ .

Answer 2

Answer:

no you can't say that a:b :: c:d = ac is not equal to bd

example :

5:6 :: 4:5

taking a = 5

b = 6

c = 4

d = 5

a*c = 5*4 = 20

b*d = 6*5 = 30

so it's not equal. so we can't say that ac = bd