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Finding the Fourth Proportional to 9,480.38, 13,082.91 and 5,231.44

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Solution

The fourth proportional to 9,480.38, 13,082.91 and 5,231.44 is: 7,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.38 : 13,082.91 = 5,231.44 : x
  2. Step 2: Convert to fraction form
    9,480.38/13,082.91 = 5,231.44/x
  3. Step 3: Cross multiply
    9,480.38x = 13,082.91 × 5,231.44
  4. Step 4: Simplify right side
    9,480.38x = 68,442,367.12
  5. Step 5: Solve for x
    x = 68,442,367.12/9,480.38
  6. Step 6: Final answer
    x = 7,219.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.