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Finding the Fourth Proportional to 5,449.78, 7,519.70 and 3,659.86

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Solution

The fourth proportional to 5,449.78, 7,519.70 and 3,659.86 is: 5,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.78 : 7,519.70 = 3,659.86 : x
  2. Step 2: Convert to fraction form
    5,449.78/7,519.70 = 3,659.86/x
  3. Step 3: Cross multiply
    5,449.78x = 7,519.70 × 3,659.86
  4. Step 4: Simplify right side
    5,449.78x = 27,521,049.24
  5. Step 5: Solve for x
    x = 27,521,049.24/5,449.78
  6. Step 6: Final answer
    x = 5,049.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.