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Finding the Fourth Proportional to 31,906.64, 47,856.32 and 8,534.88

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Solution

The fourth proportional to 31,906.64, 47,856.32 and 8,534.88 is: 12,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.64 : 47,856.32 = 8,534.88 : x
  2. Step 2: Convert to fraction form
    31,906.64/47,856.32 = 8,534.88/x
  3. Step 3: Cross multiply
    31,906.64x = 47,856.32 × 8,534.88
  4. Step 4: Simplify right side
    31,906.64x = 408,447,948.44
  5. Step 5: Solve for x
    x = 408,447,948.44/31,906.64
  6. Step 6: Final answer
    x = 12,801.35

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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.