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Finding the Fourth Proportional to 27,978.78, 41,967.82 and 11,338.65

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Solution

The fourth proportional to 27,978.78, 41,967.82 and 11,338.65 is: 17,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.78 : 41,967.82 = 11,338.65 : x
  2. Step 2: Convert to fraction form
    27,978.78/41,967.82 = 11,338.65/x
  3. Step 3: Cross multiply
    27,978.78x = 41,967.82 × 11,338.65
  4. Step 4: Simplify right side
    27,978.78x = 475,858,436.42
  5. Step 5: Solve for x
    x = 475,858,436.42/27,978.78
  6. Step 6: Final answer
    x = 17,007.83

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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.