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Finding the Fourth Proportional to 3,947.62, 5,447.13 and 2,179.30

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Solution

The fourth proportional to 3,947.62, 5,447.13 and 2,179.30 is: 3,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.62 : 5,447.13 = 2,179.30 : x
  2. Step 2: Convert to fraction form
    3,947.62/5,447.13 = 2,179.30/x
  3. Step 3: Cross multiply
    3,947.62x = 5,447.13 × 2,179.30
  4. Step 4: Simplify right side
    3,947.62x = 11,870,930.41
  5. Step 5: Solve for x
    x = 11,870,930.41/3,947.62
  6. Step 6: Final answer
    x = 3,007.11

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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.