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Finding the Fourth Proportional to 3,489.33, 5,234.98 and 1,408.87

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Solution

The fourth proportional to 3,489.33, 5,234.98 and 1,408.87 is: 2,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.33 : 5,234.98 = 1,408.87 : x
  2. Step 2: Convert to fraction form
    3,489.33/5,234.98 = 1,408.87/x
  3. Step 3: Cross multiply
    3,489.33x = 5,234.98 × 1,408.87
  4. Step 4: Simplify right side
    3,489.33x = 7,375,397.21
  5. Step 5: Solve for x
    x = 7,375,397.21/3,489.33
  6. Step 6: Final answer
    x = 2,113.70

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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.