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Finding the Fourth Proportional to 2,247.73, 3,370.27 and 861.17

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Solution

The fourth proportional to 2,247.73, 3,370.27 and 861.17 is: 1,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.73 : 3,370.27 = 861.17 : x
  2. Step 2: Convert to fraction form
    2,247.73/3,370.27 = 861.17/x
  3. Step 3: Cross multiply
    2,247.73x = 3,370.27 × 861.17
  4. Step 4: Simplify right side
    2,247.73x = 2,902,375.42
  5. Step 5: Solve for x
    x = 2,902,375.42/2,247.73
  6. Step 6: Final answer
    x = 1,291.25

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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.