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Finding the Fourth Proportional to 9,134.85, 13,691.25 and 4,197.72

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Solution

The fourth proportional to 9,134.85, 13,691.25 and 4,197.72 is: 6,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.85 : 13,691.25 = 4,197.72 : x
  2. Step 2: Convert to fraction form
    9,134.85/13,691.25 = 4,197.72/x
  3. Step 3: Cross multiply
    9,134.85x = 13,691.25 × 4,197.72
  4. Step 4: Simplify right side
    9,134.85x = 57,472,033.95
  5. Step 5: Solve for x
    x = 57,472,033.95/9,134.85
  6. Step 6: Final answer
    x = 6,291.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.