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Finding the Fourth Proportional to 8,183.82, 11,290.94 and 5,200.38

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Solution

The fourth proportional to 8,183.82, 11,290.94 and 5,200.38 is: 7,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.82 : 11,290.94 = 5,200.38 : x
  2. Step 2: Convert to fraction form
    8,183.82/11,290.94 = 5,200.38/x
  3. Step 3: Cross multiply
    8,183.82x = 11,290.94 × 5,200.38
  4. Step 4: Simplify right side
    8,183.82x = 58,717,152.56
  5. Step 5: Solve for x
    x = 58,717,152.56/8,183.82
  6. Step 6: Final answer
    x = 7,174.79

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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.