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Finding the Fourth Proportional to 3,517.62, 5,272.62 and 1,665.96

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Solution

The fourth proportional to 3,517.62, 5,272.62 and 1,665.96 is: 2,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.62 : 5,272.62 = 1,665.96 : x
  2. Step 2: Convert to fraction form
    3,517.62/5,272.62 = 1,665.96/x
  3. Step 3: Cross multiply
    3,517.62x = 5,272.62 × 1,665.96
  4. Step 4: Simplify right side
    3,517.62x = 8,783,974.02
  5. Step 5: Solve for x
    x = 8,783,974.02/3,517.62
  6. Step 6: Final answer
    x = 2,497.14

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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.