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Finding the Fourth Proportional to 2,211.38, 3,317.07 and 911.42

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Solution

The fourth proportional to 2,211.38, 3,317.07 and 911.42 is: 1,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.38 : 3,317.07 = 911.42 : x
  2. Step 2: Convert to fraction form
    2,211.38/3,317.07 = 911.42/x
  3. Step 3: Cross multiply
    2,211.38x = 3,317.07 × 911.42
  4. Step 4: Simplify right side
    2,211.38x = 3,023,243.94
  5. Step 5: Solve for x
    x = 3,023,243.94/2,211.38
  6. Step 6: Final answer
    x = 1,367.13

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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.