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Finding the Fourth Proportional to 3,447.57, 4,761.02 and 2,947.31

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Solution

The fourth proportional to 3,447.57, 4,761.02 and 2,947.31 is: 4,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.57 : 4,761.02 = 2,947.31 : x
  2. Step 2: Convert to fraction form
    3,447.57/4,761.02 = 2,947.31/x
  3. Step 3: Cross multiply
    3,447.57x = 4,761.02 × 2,947.31
  4. Step 4: Simplify right side
    3,447.57x = 14,032,201.86
  5. Step 5: Solve for x
    x = 14,032,201.86/3,447.57
  6. Step 6: Final answer
    x = 4,070.17

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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.