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Finding the Fourth Proportional to 7,791.12, 10,747.62 and 5,269.86

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Solution

The fourth proportional to 7,791.12, 10,747.62 and 5,269.86 is: 7,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.12 : 10,747.62 = 5,269.86 : x
  2. Step 2: Convert to fraction form
    7,791.12/10,747.62 = 5,269.86/x
  3. Step 3: Cross multiply
    7,791.12x = 10,747.62 × 5,269.86
  4. Step 4: Simplify right side
    7,791.12x = 56,638,452.73
  5. Step 5: Solve for x
    x = 56,638,452.73/7,791.12
  6. Step 6: Final answer
    x = 7,269.62

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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.