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Finding the Fourth Proportional to 3,997.90, 5,998.70 and 1,531.90

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Solution

The fourth proportional to 3,997.90, 5,998.70 and 1,531.90 is: 2,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.90 : 5,998.70 = 1,531.90 : x
  2. Step 2: Convert to fraction form
    3,997.90/5,998.70 = 1,531.90/x
  3. Step 3: Cross multiply
    3,997.90x = 5,998.70 × 1,531.90
  4. Step 4: Simplify right side
    3,997.90x = 9,189,408.53
  5. Step 5: Solve for x
    x = 9,189,408.53/3,997.90
  6. Step 6: Final answer
    x = 2,298.56

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1.5x scale

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.