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Finding the Fourth Proportional to 18,012, 27,031.92 and 12,504

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Solution

The fourth proportional to 18,012, 27,031.92 and 12,504 is: 18,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012 : 27,031.92 = 12,504 : x
  2. Step 2: Convert to fraction form
    18,012/27,031.92 = 12,504/x
  3. Step 3: Cross multiply
    18,012x = 27,031.92 × 12,504
  4. Step 4: Simplify right side
    18,012x = 338,007,127.68
  5. Step 5: Solve for x
    x = 338,007,127.68/18,012
  6. Step 6: Final answer
    x = 18,765.66

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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.