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Finding the Fourth Proportional to 9,082.62, 13,625.19 and 8,919.81

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Solution

The fourth proportional to 9,082.62, 13,625.19 and 8,919.81 is: 13,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.62 : 13,625.19 = 8,919.81 : x
  2. Step 2: Convert to fraction form
    9,082.62/13,625.19 = 8,919.81/x
  3. Step 3: Cross multiply
    9,082.62x = 13,625.19 × 8,919.81
  4. Step 4: Simplify right side
    9,082.62x = 121,534,106.01
  5. Step 5: Solve for x
    x = 121,534,106.01/9,082.62
  6. Step 6: Final answer
    x = 13,380.95

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Why These Related Problems?

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