Finding the Fourth Proportional to 38,082, 57,123 and 10,380
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Solution
The fourth proportional to 38,082, 57,123 and 10,380 is: 15,570
Step by Step Solution
- Step 1: Write the proportion equation
38,082 : 57,123 = 10,380 : x - Step 2: Convert to fraction form
38,082/57,123 = 10,380/x - Step 3: Cross multiply
38,082x = 57,123 × 10,380 - Step 4: Simplify right side
38,082x = 592,936,740 - Step 5: Solve for x
x = 592,936,740/38,082 - Step 6: Final answer
x = 15,570
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.