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Finding the Fourth Proportional to 18,561.54, 27,849.60 and 8,166

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Solution

The fourth proportional to 18,561.54, 27,849.60 and 8,166 is: 12,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.54 : 27,849.60 = 8,166 : x
  2. Step 2: Convert to fraction form
    18,561.54/27,849.60 = 8,166/x
  3. Step 3: Cross multiply
    18,561.54x = 27,849.60 × 8,166
  4. Step 4: Simplify right side
    18,561.54x = 227,419,833.60
  5. Step 5: Solve for x
    x = 227,419,833.60/18,561.54
  6. Step 6: Final answer
    x = 12,252.21

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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.