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Finding the Fourth Proportional to 8,546.31, 12,785.75 and 6,472.31

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Solution

The fourth proportional to 8,546.31, 12,785.75 and 6,472.31 is: 9,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.31 : 12,785.75 = 6,472.31 : x
  2. Step 2: Convert to fraction form
    8,546.31/12,785.75 = 6,472.31/x
  3. Step 3: Cross multiply
    8,546.31x = 12,785.75 × 6,472.31
  4. Step 4: Simplify right side
    8,546.31x = 82,753,265.56
  5. Step 5: Solve for x
    x = 82,753,265.56/8,546.31
  6. Step 6: Final answer
    x = 9,682.92

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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.