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Finding the Fourth Proportional to 27,005.97, 40,481.61 and 12,945.39

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Solution

The fourth proportional to 27,005.97, 40,481.61 and 12,945.39 is: 19,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.97 : 40,481.61 = 12,945.39 : x
  2. Step 2: Convert to fraction form
    27,005.97/40,481.61 = 12,945.39/x
  3. Step 3: Cross multiply
    27,005.97x = 40,481.61 × 12,945.39
  4. Step 4: Simplify right side
    27,005.97x = 524,050,229.28
  5. Step 5: Solve for x
    x = 524,050,229.28/27,005.97
  6. Step 6: Final answer
    x = 19,404.98

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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.