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Finding the Fourth Proportional to 8,562.71, 12,847.91 and 5,441.90

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Solution

The fourth proportional to 8,562.71, 12,847.91 and 5,441.90 is: 8,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.71 : 12,847.91 = 5,441.90 : x
  2. Step 2: Convert to fraction form
    8,562.71/12,847.91 = 5,441.90/x
  3. Step 3: Cross multiply
    8,562.71x = 12,847.91 × 5,441.90
  4. Step 4: Simplify right side
    8,562.71x = 69,917,046.34
  5. Step 5: Solve for x
    x = 69,917,046.34/8,562.71
  6. Step 6: Final answer
    x = 8,165.30

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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.