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Finding the Fourth Proportional to 18,060.50, 27,081 and 8,194.40

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Solution

The fourth proportional to 18,060.50, 27,081 and 8,194.40 is: 12,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,060.50 : 27,081 = 8,194.40 : x
  2. Step 2: Convert to fraction form
    18,060.50/27,081 = 8,194.40/x
  3. Step 3: Cross multiply
    18,060.50x = 27,081 × 8,194.40
  4. Step 4: Simplify right side
    18,060.50x = 221,912,512.55
  5. Step 5: Solve for x
    x = 221,912,512.55/18,060.50
  6. Step 6: Final answer
    x = 12,287.17

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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.