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Finding the Fourth Proportional to 8,471.12, 12,702.56 and 2,924.78

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Solution

The fourth proportional to 8,471.12, 12,702.56 and 2,924.78 is: 4,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.12 : 12,702.56 = 2,924.78 : x
  2. Step 2: Convert to fraction form
    8,471.12/12,702.56 = 2,924.78/x
  3. Step 3: Cross multiply
    8,471.12x = 12,702.56 × 2,924.78
  4. Step 4: Simplify right side
    8,471.12x = 37,152,115.30
  5. Step 5: Solve for x
    x = 37,152,115.30/8,471.12
  6. Step 6: Final answer
    x = 4,385.74

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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.