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Finding the Fourth Proportional to 13,082, 18,068 and 8,882.96

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Solution

The fourth proportional to 13,082, 18,068 and 8,882.96 is: 12,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082 : 18,068 = 8,882.96 : x
  2. Step 2: Convert to fraction form
    13,082/18,068 = 8,882.96/x
  3. Step 3: Cross multiply
    13,082x = 18,068 × 8,882.96
  4. Step 4: Simplify right side
    13,082x = 160,497,321.28
  5. Step 5: Solve for x
    x = 160,497,321.28/13,082
  6. Step 6: Final answer
    x = 12,268.56

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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.