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Finding the Fourth Proportional to 18,017, 27,039.42 and 12,509

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Solution

The fourth proportional to 18,017, 27,039.42 and 12,509 is: 18,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,017 : 27,039.42 = 12,509 : x
  2. Step 2: Convert to fraction form
    18,017/27,039.42 = 12,509/x
  3. Step 3: Cross multiply
    18,017x = 27,039.42 × 12,509
  4. Step 4: Simplify right side
    18,017x = 338,236,104.78
  5. Step 5: Solve for x
    x = 338,236,104.78/18,017
  6. Step 6: Final answer
    x = 18,773.16

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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.