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Finding the Fourth Proportional to 31,930.53, 47,890.32 and 8,551.50

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Solution

The fourth proportional to 31,930.53, 47,890.32 and 8,551.50 is: 12,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.53 : 47,890.32 = 8,551.50 : x
  2. Step 2: Convert to fraction form
    31,930.53/47,890.32 = 8,551.50/x
  3. Step 3: Cross multiply
    31,930.53x = 47,890.32 × 8,551.50
  4. Step 4: Simplify right side
    31,930.53x = 409,534,071.48
  5. Step 5: Solve for x
    x = 409,534,071.48/31,930.53
  6. Step 6: Final answer
    x = 12,825.78

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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.