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Finding the Fourth Proportional to 13,750, 18,979.92 and 8,161

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Solution

The fourth proportional to 13,750, 18,979.92 and 8,161 is: 11,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750 : 18,979.92 = 8,161 : x
  2. Step 2: Convert to fraction form
    13,750/18,979.92 = 8,161/x
  3. Step 3: Cross multiply
    13,750x = 18,979.92 × 8,161
  4. Step 4: Simplify right side
    13,750x = 154,895,127.12
  5. Step 5: Solve for x
    x = 154,895,127.12/13,750
  6. Step 6: Final answer
    x = 11,265.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.