Answer: yes
Step-by-step explanation: A proportion is a pair of equal ratios. So when we’re asked to determine whether two ratios form a proportion, what we’re really being asked to do is determine whether the two ratios are equal because i the ratios are equal, then we know they form a proportion.
So in this problem, we need to determine whether 12/6 = 4/2.
The easiest way to determine whether 12/6 = 4/2 is to use cross-products.
If the cross-products are equal, then the ratios are equal.
The cross products for these two ratios are (12)(2) and (6)(4).
Are these products equal?
Well (12)(2) is 24 and (6)(4) is 24.
Since 24 = 24, we can see that the cross-products are equal which means that the ratios are equal and since the ratios are equal, we know that they form a proportion. So the answer is yes, 12/6 and 4/2 form a proportion.
