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Finding the Fourth Proportional to 31,843.20, 47,766.96 and 8,469.12

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Solution

The fourth proportional to 31,843.20, 47,766.96 and 8,469.12 is: 12,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.20 : 47,766.96 = 8,469.12 : x
  2. Step 2: Convert to fraction form
    31,843.20/47,766.96 = 8,469.12/x
  3. Step 3: Cross multiply
    31,843.20x = 47,766.96 × 8,469.12
  4. Step 4: Simplify right side
    31,843.20x = 404,544,116.28
  5. Step 5: Solve for x
    x = 404,544,116.28/31,843.20
  6. Step 6: Final answer
    x = 12,704.25

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1.5x scale

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.