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Finding the Fourth Proportional to 8,471.64, 12,706.38 and 3,729.72

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Solution

The fourth proportional to 8,471.64, 12,706.38 and 3,729.72 is: 5,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.64 : 12,706.38 = 3,729.72 : x
  2. Step 2: Convert to fraction form
    8,471.64/12,706.38 = 3,729.72/x
  3. Step 3: Cross multiply
    8,471.64x = 12,706.38 × 3,729.72
  4. Step 4: Simplify right side
    8,471.64x = 47,391,239.61
  5. Step 5: Solve for x
    x = 47,391,239.61/8,471.64
  6. Step 6: Final answer
    x = 5,594.10

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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.