Which ratios form a proportion?

(a)4/9, 12/25
(b)3/7, 18/42
(c)5/8, 15/25
(d)5/11,20/45
I think the answer is B. am I correct?

Yes, B.

thank you so much

Can you help me with my other question? @Ms. Sue

You're welcome.

To determine which ratios form a proportion, we need to check if their cross products are equal. The cross product of a ratio is obtained by multiplying the numerator of one ratio with the denominator of the other ratio.

Let's go through each option and calculate the cross products:

(a) Cross product for 4/9, 12/25: (4 x 25) = 100 versus (9 x 12) = 108, which means they are not equal.

(b) Cross product for 3/7, 18/42: (3 x 42) = 126 versus (7 x 18) = 126. Here, the cross products are equal, so this is a proportion.

(c) Cross product for 5/8, 15/25: (5 x 25) = 125 versus (8 x 15) = 120. They are not equal.

(d) Cross product for 5/11, 20/45: (5 x 45) = 225 versus (11 x 20) = 220. They are not equal.

Therefore, the only pair of ratios that form a proportion is option (b) 3/7, 18/42. So, you are correct!