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Finding the Fourth Proportional to 31,937.32, 47,905.98 and 8,563.15

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Solution

The fourth proportional to 31,937.32, 47,905.98 and 8,563.15 is: 12,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.32 : 47,905.98 = 8,563.15 : x
  2. Step 2: Convert to fraction form
    31,937.32/47,905.98 = 8,563.15/x
  3. Step 3: Cross multiply
    31,937.32x = 47,905.98 × 8,563.15
  4. Step 4: Simplify right side
    31,937.32x = 410,226,092.64
  5. Step 5: Solve for x
    x = 410,226,092.64/31,937.32
  6. Step 6: Final answer
    x = 12,844.73

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Similar ratio
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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.