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Finding the Fourth Proportional to 3,997.64, 5,992.36 and 1,531.82

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Solution

The fourth proportional to 3,997.64, 5,992.36 and 1,531.82 is: 2,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.64 : 5,992.36 = 1,531.82 : x
  2. Step 2: Convert to fraction form
    3,997.64/5,992.36 = 1,531.82/x
  3. Step 3: Cross multiply
    3,997.64x = 5,992.36 × 1,531.82
  4. Step 4: Simplify right side
    3,997.64x = 9,179,216.90
  5. Step 5: Solve for x
    x = 9,179,216.90/3,997.64
  6. Step 6: Final answer
    x = 2,296.16

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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.