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Finding the Fourth Proportional to 27,469, 41,188.92 and 12,670.32

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Solution

The fourth proportional to 27,469, 41,188.92 and 12,670.32 is: 18,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469 : 41,188.92 = 12,670.32 : x
  2. Step 2: Convert to fraction form
    27,469/41,188.92 = 12,670.32/x
  3. Step 3: Cross multiply
    27,469x = 41,188.92 × 12,670.32
  4. Step 4: Simplify right side
    27,469x = 521,876,796.85
  5. Step 5: Solve for x
    x = 521,876,796.85/27,469
  6. Step 6: Final answer
    x = 18,998.75

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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.