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Finding the Fourth Proportional to 3,963.73, 5,947.62 and 2,648.38

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Solution

The fourth proportional to 3,963.73, 5,947.62 and 2,648.38 is: 3,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.73 : 5,947.62 = 2,648.38 : x
  2. Step 2: Convert to fraction form
    3,963.73/5,947.62 = 2,648.38/x
  3. Step 3: Cross multiply
    3,963.73x = 5,947.62 × 2,648.38
  4. Step 4: Simplify right side
    3,963.73x = 15,751,557.86
  5. Step 5: Solve for x
    x = 15,751,557.86/3,963.73
  6. Step 6: Final answer
    x = 3,973.92

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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.