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Finding the Fourth Proportional to 6,550.03, 9,809.85 and 3,769.81

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Solution

The fourth proportional to 6,550.03, 9,809.85 and 3,769.81 is: 5,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.03 : 9,809.85 = 3,769.81 : x
  2. Step 2: Convert to fraction form
    6,550.03/9,809.85 = 3,769.81/x
  3. Step 3: Cross multiply
    6,550.03x = 9,809.85 × 3,769.81
  4. Step 4: Simplify right side
    6,550.03x = 36,981,246.10
  5. Step 5: Solve for x
    x = 36,981,246.10/6,550.03
  6. Step 6: Final answer
    x = 5,645.97

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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.