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Finding the Fourth Proportional to 3,553.55, 5,331 and 1,605.75

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Solution

The fourth proportional to 3,553.55, 5,331 and 1,605.75 is: 2,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.55 : 5,331 = 1,605.75 : x
  2. Step 2: Convert to fraction form
    3,553.55/5,331 = 1,605.75/x
  3. Step 3: Cross multiply
    3,553.55x = 5,331 × 1,605.75
  4. Step 4: Simplify right side
    3,553.55x = 8,560,253.25
  5. Step 5: Solve for x
    x = 8,560,253.25/3,553.55
  6. Step 6: Final answer
    x = 2,408.93

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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.