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Finding the Fourth Proportional to 27,659.12, 41,495.88 and 7,939.16

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Solution

The fourth proportional to 27,659.12, 41,495.88 and 7,939.16 is: 11,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659.12 : 41,495.88 = 7,939.16 : x
  2. Step 2: Convert to fraction form
    27,659.12/41,495.88 = 7,939.16/x
  3. Step 3: Cross multiply
    27,659.12x = 41,495.88 × 7,939.16
  4. Step 4: Simplify right side
    27,659.12x = 329,442,430.66
  5. Step 5: Solve for x
    x = 329,442,430.66/27,659.12
  6. Step 6: Final answer
    x = 11,910.81

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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.