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Finding the Fourth Proportional to 31,906.28, 47,859.41 and 8,532.11

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Solution

The fourth proportional to 31,906.28, 47,859.41 and 8,532.11 is: 12,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.28 : 47,859.41 = 8,532.11 : x
  2. Step 2: Convert to fraction form
    31,906.28/47,859.41 = 8,532.11/x
  3. Step 3: Cross multiply
    31,906.28x = 47,859.41 × 8,532.11
  4. Step 4: Simplify right side
    31,906.28x = 408,341,468.70
  5. Step 5: Solve for x
    x = 408,341,468.70/31,906.28
  6. Step 6: Final answer
    x = 12,798.16

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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.