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Finding the Fourth Proportional to 10,375, 15,529.20 and 5,437.60

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Solution

The fourth proportional to 10,375, 15,529.20 and 5,437.60 is: 8,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375 : 15,529.20 = 5,437.60 : x
  2. Step 2: Convert to fraction form
    10,375/15,529.20 = 5,437.60/x
  3. Step 3: Cross multiply
    10,375x = 15,529.20 × 5,437.60
  4. Step 4: Simplify right side
    10,375x = 84,441,577.92
  5. Step 5: Solve for x
    x = 84,441,577.92/10,375
  6. Step 6: Final answer
    x = 8,138.95

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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.