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Finding the Fourth Proportional to 27,938.86, 41,907.92 and 6,879.15

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Solution

The fourth proportional to 27,938.86, 41,907.92 and 6,879.15 is: 10,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938.86 : 41,907.92 = 6,879.15 : x
  2. Step 2: Convert to fraction form
    27,938.86/41,907.92 = 6,879.15/x
  3. Step 3: Cross multiply
    27,938.86x = 41,907.92 × 6,879.15
  4. Step 4: Simplify right side
    27,938.86x = 288,290,833.47
  5. Step 5: Solve for x
    x = 288,290,833.47/27,938.86
  6. Step 6: Final answer
    x = 10,318.63

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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.