How do I find a ratio equivalent to each ratio then use the ratios to write a proportion
Multiply both terms by the same number.
Example:
1:3 = 2:6 = 3:9
You could also divide both terms by the same number.
To find a ratio equivalent to a given ratio and use them to write a proportion, you can follow these steps:
Step 1: Understand the given ratio
First, make sure you understand the given ratio. A ratio is a comparison of two quantities. It can be expressed in a few different ways, such as "a to b," "a:b," or using a colon (":").
Step 2: Choose equivalent values
Next, decide on an equivalent ratio. You can do this by multiplying or dividing both quantities of the original ratio by the same number. This ensures that the relationship between the two quantities remains the same, but the absolute values change.
Step 3: Write the equivalent ratio
Once you have chosen the equivalent values, write them down as a new ratio. You can use the same notation as the original ratio.
Step 4: Construct the proportion
Now that you have two equivalent ratios, you can write a proportion using these ratios. A proportion is an equation that equates two ratios. It typically has the form of "a/b = c/d", where a, b, c, and d are the quantities from the ratios.
Step 5: Solve the proportion
Finally, solve the proportion by cross-multiplying and then dividing to find the unknown quantity.
By following these steps, you should be able to find a ratio equivalent to a given ratio and write a proportion using the ratios.