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Finding the Fourth Proportional to 22,523.85, 31,082.90 and 12,587.85

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Solution

The fourth proportional to 22,523.85, 31,082.90 and 12,587.85 is: 17,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.85 : 31,082.90 = 12,587.85 : x
  2. Step 2: Convert to fraction form
    22,523.85/31,082.90 = 12,587.85/x
  3. Step 3: Cross multiply
    22,523.85x = 31,082.90 × 12,587.85
  4. Step 4: Simplify right side
    22,523.85x = 391,266,882.77
  5. Step 5: Solve for x
    x = 391,266,882.77/22,523.85
  6. Step 6: Final answer
    x = 17,371.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.