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Finding the Fourth Proportional to 9,375.38, 12,941.12 and 5,397.47

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Solution

The fourth proportional to 9,375.38, 12,941.12 and 5,397.47 is: 7,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.38 : 12,941.12 = 5,397.47 : x
  2. Step 2: Convert to fraction form
    9,375.38/12,941.12 = 5,397.47/x
  3. Step 3: Cross multiply
    9,375.38x = 12,941.12 × 5,397.47
  4. Step 4: Simplify right side
    9,375.38x = 69,849,273.92
  5. Step 5: Solve for x
    x = 69,849,273.92/9,375.38
  6. Step 6: Final answer
    x = 7,450.29

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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.