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Finding the Fourth Proportional to 15,375.20, 23,060 and 5,381.42

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Solution

The fourth proportional to 15,375.20, 23,060 and 5,381.42 is: 8,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375.20 : 23,060 = 5,381.42 : x
  2. Step 2: Convert to fraction form
    15,375.20/23,060 = 5,381.42/x
  3. Step 3: Cross multiply
    15,375.20x = 23,060 × 5,381.42
  4. Step 4: Simplify right side
    15,375.20x = 124,095,545.20
  5. Step 5: Solve for x
    x = 124,095,545.20/15,375.20
  6. Step 6: Final answer
    x = 8,071.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.