Find out if the following numbers are in proportion:
1) [tex]$6 \quad 10 \quad 17 \quad 53$[/tex]
Answer (1)
Calculate the ratio of the first two numbers: 10 6 = 0.6 .
Calculate the ratio of the last two numbers: 53 17 ≈ 0.32075 .
Compare the two ratios: 0.6 = 0.32075 .
Conclude that the numbers are not in proportion: False .
Explanation
Understanding the Problem We are given four numbers: 6, 10, 17, and 53. We need to determine if these numbers are in proportion. This means we need to check if the ratio between the first two numbers is equal to the ratio between the last two numbers.
Calculating the First Ratio First, let's calculate the ratio of the first two numbers, 6 and 10: 10 6 = 5 3 = 0.6
Calculating the Second Ratio Next, let's calculate the ratio of the last two numbers, 17 and 53: 53 17 ≈ 0.32075
Comparing the Ratios Now, we compare the two ratios we calculated. We have: 10 6 = 0.6 53 17 ≈ 0.32075 Since 0.6 = 0.32075 , the two ratios are not equal.
Conclusion Therefore, the numbers 6, 10, 17, and 53 are not in proportion.
Examples
In real life, proportions are used in various scenarios, such as scaling recipes, calculating distances on maps, and determining the correct mixture ratios for construction materials. For example, if a recipe calls for a ratio of 2 cups of flour to 1 cup of sugar, maintaining this proportion is crucial for the final product to turn out as expected. Similarly, in construction, the ratio of cement to sand in concrete must be precise to ensure the structural integrity of the building.
