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Finding the Fourth Proportional to 18,060.31, 27,080.73 and 8,194.21

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Solution

The fourth proportional to 18,060.31, 27,080.73 and 8,194.21 is: 12,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,060.31 : 27,080.73 = 8,194.21 : x
  2. Step 2: Convert to fraction form
    18,060.31/27,080.73 = 8,194.21/x
  3. Step 3: Cross multiply
    18,060.31x = 27,080.73 × 8,194.21
  4. Step 4: Simplify right side
    18,060.31x = 221,905,012.20
  5. Step 5: Solve for x
    x = 221,905,012.20/18,060.31
  6. Step 6: Final answer
    x = 12,286.89

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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.