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Finding the Fourth Proportional to 3,963.95, 5,945.90 and 1,002.39

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Solution

The fourth proportional to 3,963.95, 5,945.90 and 1,002.39 is: 1,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.95 : 5,945.90 = 1,002.39 : x
  2. Step 2: Convert to fraction form
    3,963.95/5,945.90 = 1,002.39/x
  3. Step 3: Cross multiply
    3,963.95x = 5,945.90 × 1,002.39
  4. Step 4: Simplify right side
    3,963.95x = 5,960,128.07
  5. Step 5: Solve for x
    x = 5,960,128.07/3,963.95
  6. Step 6: Final answer
    x = 1,503.58

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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.