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Finding the Fourth Proportional to 3,487.41, 5,229.12 and 1,408.41

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Solution

The fourth proportional to 3,487.41, 5,229.12 and 1,408.41 is: 2,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.41 : 5,229.12 = 1,408.41 : x
  2. Step 2: Convert to fraction form
    3,487.41/5,229.12 = 1,408.41/x
  3. Step 3: Cross multiply
    3,487.41x = 5,229.12 × 1,408.41
  4. Step 4: Simplify right side
    3,487.41x = 7,364,744.90
  5. Step 5: Solve for x
    x = 7,364,744.90/3,487.41
  6. Step 6: Final answer
    x = 2,111.81

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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.