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Finding the Fourth Proportional to 3,809.91, 5,715.35 and 1,469.85

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Solution

The fourth proportional to 3,809.91, 5,715.35 and 1,469.85 is: 2,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.91 : 5,715.35 = 1,469.85 : x
  2. Step 2: Convert to fraction form
    3,809.91/5,715.35 = 1,469.85/x
  3. Step 3: Cross multiply
    3,809.91x = 5,715.35 × 1,469.85
  4. Step 4: Simplify right side
    3,809.91x = 8,400,699.85
  5. Step 5: Solve for x
    x = 8,400,699.85/3,809.91
  6. Step 6: Final answer
    x = 2,204.96

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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.