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Finding the Fourth Proportional to 3,947.22, 5,447.18 and 2,178.86

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Solution

The fourth proportional to 3,947.22, 5,447.18 and 2,178.86 is: 3,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.22 : 5,447.18 = 2,178.86 : x
  2. Step 2: Convert to fraction form
    3,947.22/5,447.18 = 2,178.86/x
  3. Step 3: Cross multiply
    3,947.22x = 5,447.18 × 2,178.86
  4. Step 4: Simplify right side
    3,947.22x = 11,868,620.83
  5. Step 5: Solve for x
    x = 11,868,620.83/3,947.22
  6. Step 6: Final answer
    x = 3,006.83

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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.