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Finding the Fourth Proportional to 7,183.49, 9,911.72 and 4,198.73

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Solution

The fourth proportional to 7,183.49, 9,911.72 and 4,198.73 is: 5,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.49 : 9,911.72 = 4,198.73 : x
  2. Step 2: Convert to fraction form
    7,183.49/9,911.72 = 4,198.73/x
  3. Step 3: Cross multiply
    7,183.49x = 9,911.72 × 4,198.73
  4. Step 4: Simplify right side
    7,183.49x = 41,616,671.39
  5. Step 5: Solve for x
    x = 41,616,671.39/7,183.49
  6. Step 6: Final answer
    x = 5,793.38

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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.