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Finding the Fourth Proportional to 9,082.88, 13,618.72 and 8,309.36

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Solution

The fourth proportional to 9,082.88, 13,618.72 and 8,309.36 is: 12,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.88 : 13,618.72 = 8,309.36 : x
  2. Step 2: Convert to fraction form
    9,082.88/13,618.72 = 8,309.36/x
  3. Step 3: Cross multiply
    9,082.88x = 13,618.72 × 8,309.36
  4. Step 4: Simplify right side
    9,082.88x = 113,162,847.22
  5. Step 5: Solve for x
    x = 113,162,847.22/9,082.88
  6. Step 6: Final answer
    x = 12,458.92

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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.