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Finding the Fourth Proportional to 18,382.14, 27,557.82 and 8,516.34

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Solution

The fourth proportional to 18,382.14, 27,557.82 and 8,516.34 is: 12,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.14 : 27,557.82 = 8,516.34 : x
  2. Step 2: Convert to fraction form
    18,382.14/27,557.82 = 8,516.34/x
  3. Step 3: Cross multiply
    18,382.14x = 27,557.82 × 8,516.34
  4. Step 4: Simplify right side
    18,382.14x = 234,691,764.78
  5. Step 5: Solve for x
    x = 234,691,764.78/18,382.14
  6. Step 6: Final answer
    x = 12,767.38

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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.