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Finding the Fourth Proportional to 3,974.64, 5,962.16 and 1,342.24

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Solution

The fourth proportional to 3,974.64, 5,962.16 and 1,342.24 is: 2,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.64 : 5,962.16 = 1,342.24 : x
  2. Step 2: Convert to fraction form
    3,974.64/5,962.16 = 1,342.24/x
  3. Step 3: Cross multiply
    3,974.64x = 5,962.16 × 1,342.24
  4. Step 4: Simplify right side
    3,974.64x = 8,002,630.54
  5. Step 5: Solve for x
    x = 8,002,630.54/3,974.64
  6. Step 6: Final answer
    x = 2,013.42

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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.