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Finding the Fourth Proportional to 12,155.91, 18,233.87 and 3,947.91

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Solution

The fourth proportional to 12,155.91, 18,233.87 and 3,947.91 is: 5,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.91 : 18,233.87 = 3,947.91 : x
  2. Step 2: Convert to fraction form
    12,155.91/18,233.87 = 3,947.91/x
  3. Step 3: Cross multiply
    12,155.91x = 18,233.87 × 3,947.91
  4. Step 4: Simplify right side
    12,155.91x = 71,985,657.97
  5. Step 5: Solve for x
    x = 71,985,657.97/12,155.91
  6. Step 6: Final answer
    x = 5,921.87

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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.