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Finding the Fourth Proportional to 18,131, 27,199.38 and 8,270.20

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Solution

The fourth proportional to 18,131, 27,199.38 and 8,270.20 is: 12,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131 : 27,199.38 = 8,270.20 : x
  2. Step 2: Convert to fraction form
    18,131/27,199.38 = 8,270.20/x
  3. Step 3: Cross multiply
    18,131x = 27,199.38 × 8,270.20
  4. Step 4: Simplify right side
    18,131x = 224,944,312.48
  5. Step 5: Solve for x
    x = 224,944,312.48/18,131
  6. Step 6: Final answer
    x = 12,406.61

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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.