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Finding the Fourth Proportional to 8,617.68, 12,917.88 and 6,019.92

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Solution

The fourth proportional to 8,617.68, 12,917.88 and 6,019.92 is: 9,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.68 : 12,917.88 = 6,019.92 : x
  2. Step 2: Convert to fraction form
    8,617.68/12,917.88 = 6,019.92/x
  3. Step 3: Cross multiply
    8,617.68x = 12,917.88 × 6,019.92
  4. Step 4: Simplify right side
    8,617.68x = 77,764,604.17
  5. Step 5: Solve for x
    x = 77,764,604.17/8,617.68
  6. Step 6: Final answer
    x = 9,023.84

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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.