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Finding the Fourth Proportional to 3,967.28, 5,947.68 and 3,098.96

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Solution

The fourth proportional to 3,967.28, 5,947.68 and 3,098.96 is: 4,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.28 : 5,947.68 = 3,098.96 : x
  2. Step 2: Convert to fraction form
    3,967.28/5,947.68 = 3,098.96/x
  3. Step 3: Cross multiply
    3,967.28x = 5,947.68 × 3,098.96
  4. Step 4: Simplify right side
    3,967.28x = 18,431,622.41
  5. Step 5: Solve for x
    x = 18,431,622.41/3,967.28
  6. Step 6: Final answer
    x = 4,645.91

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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.