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Finding the Fourth Proportional to 27,978.38, 41,967.16 and 6,918.65

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Solution

The fourth proportional to 27,978.38, 41,967.16 and 6,918.65 is: 10,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.38 : 41,967.16 = 6,918.65 : x
  2. Step 2: Convert to fraction form
    27,978.38/41,967.16 = 6,918.65/x
  3. Step 3: Cross multiply
    27,978.38x = 41,967.16 × 6,918.65
  4. Step 4: Simplify right side
    27,978.38x = 290,356,091.53
  5. Step 5: Solve for x
    x = 290,356,091.53/27,978.38
  6. Step 6: Final answer
    x = 10,377.87

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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.