Use cross products to determine with ratio forms a proportion with 9/4
To determine which ratio forms a proportion with 9/4, we need to use cross products.
Let's say we have two ratios, a/b and c/d, and we want to find out if they form a proportion.
Using cross products, we multiply the numerator of the first ratio with the denominator of the second ratio, and then multiply the denominator of the first ratio with the numerator of the second ratio.
For example, if we have a/b and c/d, the cross products would be ac and bd.
Now, let's apply this to our situation. We want to find out which ratio, x/y, forms a proportion with 9/4.
Our cross products would be (9)(y) and (4)(x).
If these cross products are equal, then the ratios form a proportion.
So, we have (9)(y) = (4)(x).
Simplifying this equation, we get 9y = 4x.
To determine which ratio forms a proportion, we need to find values of x and y that satisfy this equation.
For example, if we choose x = 2 and y = 4, we have:
9(4) = 4(2),
which is true.
Therefore, the ratio 2/4 forms a proportion with 9/4.