Explain how to use cross product to detemine whether the ratios 27 to 36 and 12 to 16 are equal.
27/36 = 12/16
36 * 12 = 16 * 27
432 = 432
9:18 and 27:36
To determine whether the ratios 27:36 and 12:16 are equal using cross product, follow these steps:
Step 1: Write down the first ratio as a fraction.
The ratio 27:36 can be written as 27/36.
Step 2: Write down the second ratio as a fraction.
The ratio 12:16 can be written as 12/16.
Step 3: Calculate the cross products for both ratios.
The cross product of a ratio is found by multiplying the numerator of the first ratio with the denominator of the second ratio, and then multiplying the denominator of the first ratio with the numerator of the second ratio.
For the first ratio, the cross product is: 27/36 = 27 * 16 = 432.
For the second ratio, the cross product is: 12/16 = 12 * 36 = 432.
Step 4: Compare the cross products.
If the cross products of the two ratios are equal, then the ratios are equal. In this case, the cross products of both ratios are 432, which means that the ratios 27:36 and 12:16 are equal.
Therefore, using the cross product method, we have determined that the ratios 27:36 and 12:16 are equal.