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Finding the Fourth Proportional to 8,517.28, 11,750 and 4,978.88

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Solution

The fourth proportional to 8,517.28, 11,750 and 4,978.88 is: 6,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.28 : 11,750 = 4,978.88 : x
  2. Step 2: Convert to fraction form
    8,517.28/11,750 = 4,978.88/x
  3. Step 3: Cross multiply
    8,517.28x = 11,750 × 4,978.88
  4. Step 4: Simplify right side
    8,517.28x = 58,501,840
  5. Step 5: Solve for x
    x = 58,501,840/8,517.28
  6. Step 6: Final answer
    x = 6,868.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.