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Finding the Fourth Proportional to 31,793.46, 47,690.17 and 8,419.90

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Solution

The fourth proportional to 31,793.46, 47,690.17 and 8,419.90 is: 12,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.46 : 47,690.17 = 8,419.90 : x
  2. Step 2: Convert to fraction form
    31,793.46/47,690.17 = 8,419.90/x
  3. Step 3: Cross multiply
    31,793.46x = 47,690.17 × 8,419.90
  4. Step 4: Simplify right side
    31,793.46x = 401,546,411.53
  5. Step 5: Solve for x
    x = 401,546,411.53/31,793.46
  6. Step 6: Final answer
    x = 12,629.84

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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.