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Finding the Fourth Proportional to 3,617.85, 5,425.86 and 1,537.89

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Solution

The fourth proportional to 3,617.85, 5,425.86 and 1,537.89 is: 2,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.85 : 5,425.86 = 1,537.89 : x
  2. Step 2: Convert to fraction form
    3,617.85/5,425.86 = 1,537.89/x
  3. Step 3: Cross multiply
    3,617.85x = 5,425.86 × 1,537.89
  4. Step 4: Simplify right side
    3,617.85x = 8,344,375.84
  5. Step 5: Solve for x
    x = 8,344,375.84/3,617.85
  6. Step 6: Final answer
    x = 2,306.45

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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.