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Finding the Fourth Proportional to 31,729.28, 47,592 and 8,355.68

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Solution

The fourth proportional to 31,729.28, 47,592 and 8,355.68 is: 12,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729.28 : 47,592 = 8,355.68 : x
  2. Step 2: Convert to fraction form
    31,729.28/47,592 = 8,355.68/x
  3. Step 3: Cross multiply
    31,729.28x = 47,592 × 8,355.68
  4. Step 4: Simplify right side
    31,729.28x = 397,663,522.56
  5. Step 5: Solve for x
    x = 397,663,522.56/31,729.28
  6. Step 6: Final answer
    x = 12,533.01

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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.