How do you use cross products to determine if two ratios are equal?

Another way to check if two ratios are equivalent is to cross multiply and compare the cross products. A cross product is the result of multiplying the numerator of one ratio with the denominator of another. If the cross products are equal, then the ratios are proportional.

What shows that 2 ratios are equivalent?

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

What is an equivalent ratio?

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

How do you find an equivalent ratio?

Thus, to find a ratio equivalent to another we have to multiply the two quantities, by the same number. Another way to find equivalent ratios is to convert the given ratio into fraction form and then multiply the numerator and denominator by the same number to get equivalent fractions.

What are examples of equivalent ratios?

Hence, to get the equivalent ratio of another ratio, we simply have to multiply the two quantities with the same number. The concept of equivalent ratios is similar to the concept of equivalent fractions. Examples of equivalent ratios are 1:2 and 4:8, 3:5 and 12:20, 9:4 and 18:8, etc.

How do you find a equivalent ratio?

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

How are cross products equal set?

To solve this, we can use a procedure called cross multiplying. With cross multiplying, you take the numerator of the first ratio and multiply it by the denominator of the second ratio. Then, you set that equal to the denominator of the first ratio times the numerator of the second ration.

What is the meaning of equivalent ratio?

What is the equivalent ratio of 3 and 8?

Therefore, the three equivalent ratios of 3 : 8 are 6 : 16, 12 : 32 and 18 : 48.

What is the equivalence ratio?

The equivalence ratio Φ is defined as the ratio of the fuel mass flow rate to the air mass flow rate divided by the same ratio at the stoichiometry of the reaction considered. The equivalence ratio can take a global form such as used for diffusion flames and combustor design.