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Finding the Fourth Proportional to 27,540.51, 41,311.17 and 7,819.11

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Solution

The fourth proportional to 27,540.51, 41,311.17 and 7,819.11 is: 11,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.51 : 41,311.17 = 7,819.11 : x
  2. Step 2: Convert to fraction form
    27,540.51/41,311.17 = 7,819.11/x
  3. Step 3: Cross multiply
    27,540.51x = 41,311.17 × 7,819.11
  4. Step 4: Simplify right side
    27,540.51x = 323,016,582.46
  5. Step 5: Solve for x
    x = 323,016,582.46/27,540.51
  6. Step 6: Final answer
    x = 11,728.78

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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.