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Finding the Fourth Proportional to 3,472.83, 5,207.42 and 2,605.32

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Solution

The fourth proportional to 3,472.83, 5,207.42 and 2,605.32 is: 3,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.83 : 5,207.42 = 2,605.32 : x
  2. Step 2: Convert to fraction form
    3,472.83/5,207.42 = 2,605.32/x
  3. Step 3: Cross multiply
    3,472.83x = 5,207.42 × 2,605.32
  4. Step 4: Simplify right side
    3,472.83x = 13,566,982.45
  5. Step 5: Solve for x
    x = 13,566,982.45/3,472.83
  6. Step 6: Final answer
    x = 3,906.61

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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.