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Finding the Fourth Proportional to 18,270.31, 27,403.67 and 12,385

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Solution

The fourth proportional to 18,270.31, 27,403.67 and 12,385 is: 18,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270.31 : 27,403.67 = 12,385 : x
  2. Step 2: Convert to fraction form
    18,270.31/27,403.67 = 12,385/x
  3. Step 3: Cross multiply
    18,270.31x = 27,403.67 × 12,385
  4. Step 4: Simplify right side
    18,270.31x = 339,394,391.03
  5. Step 5: Solve for x
    x = 339,394,391.03/18,270.31
  6. Step 6: Final answer
    x = 18,576.28

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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.