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Finding the Fourth Proportional to 3,963.67, 5,945.04 and 1,042.21

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Solution

The fourth proportional to 3,963.67, 5,945.04 and 1,042.21 is: 1,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.67 : 5,945.04 = 1,042.21 : x
  2. Step 2: Convert to fraction form
    3,963.67/5,945.04 = 1,042.21/x
  3. Step 3: Cross multiply
    3,963.67x = 5,945.04 × 1,042.21
  4. Step 4: Simplify right side
    3,963.67x = 6,195,951.20
  5. Step 5: Solve for x
    x = 6,195,951.20/3,963.67
  6. Step 6: Final answer
    x = 1,563.18

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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.