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Finding the Fourth Proportional to 7,691.86, 11,540.50 and 3,799

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Solution

The fourth proportional to 7,691.86, 11,540.50 and 3,799 is: 5,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.86 : 11,540.50 = 3,799 : x
  2. Step 2: Convert to fraction form
    7,691.86/11,540.50 = 3,799/x
  3. Step 3: Cross multiply
    7,691.86x = 11,540.50 × 3,799
  4. Step 4: Simplify right side
    7,691.86x = 43,842,359.50
  5. Step 5: Solve for x
    x = 43,842,359.50/7,691.86
  6. Step 6: Final answer
    x = 5,699.84

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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.