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Finding the Fourth Proportional to 12,131, 18,177 and 10,187

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Solution

The fourth proportional to 12,131, 18,177 and 10,187 is: 15,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131 : 18,177 = 10,187 : x
  2. Step 2: Convert to fraction form
    12,131/18,177 = 10,187/x
  3. Step 3: Cross multiply
    12,131x = 18,177 × 10,187
  4. Step 4: Simplify right side
    12,131x = 185,169,099
  5. Step 5: Solve for x
    x = 185,169,099/12,131
  6. Step 6: Final answer
    x = 15,264.12

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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.