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Finding the Fourth Proportional to 32,002.70, 47,906.85 and 18,815.90

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Solution

The fourth proportional to 32,002.70, 47,906.85 and 18,815.90 is: 28,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.70 : 47,906.85 = 18,815.90 : x
  2. Step 2: Convert to fraction form
    32,002.70/47,906.85 = 18,815.90/x
  3. Step 3: Cross multiply
    32,002.70x = 47,906.85 × 18,815.90
  4. Step 4: Simplify right side
    32,002.70x = 901,410,498.92
  5. Step 5: Solve for x
    x = 901,410,498.92/32,002.70
  6. Step 6: Final answer
    x = 28,166.70

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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.