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Finding the Fourth Proportional to 9,229.95, 12,736.85 and 5,691.87

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Solution

The fourth proportional to 9,229.95, 12,736.85 and 5,691.87 is: 7,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.95 : 12,736.85 = 5,691.87 : x
  2. Step 2: Convert to fraction form
    9,229.95/12,736.85 = 5,691.87/x
  3. Step 3: Cross multiply
    9,229.95x = 12,736.85 × 5,691.87
  4. Step 4: Simplify right side
    9,229.95x = 72,496,465.95
  5. Step 5: Solve for x
    x = 72,496,465.95/9,229.95
  6. Step 6: Final answer
    x = 7,854.48

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