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Finding the Fourth Proportional to 4,979.85, 7,469.78 and 1,469.91

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Solution

The fourth proportional to 4,979.85, 7,469.78 and 1,469.91 is: 2,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.85 : 7,469.78 = 1,469.91 : x
  2. Step 2: Convert to fraction form
    4,979.85/7,469.78 = 1,469.91/x
  3. Step 3: Cross multiply
    4,979.85x = 7,469.78 × 1,469.91
  4. Step 4: Simplify right side
    4,979.85x = 10,979,859.62
  5. Step 5: Solve for x
    x = 10,979,859.62/4,979.85
  6. Step 6: Final answer
    x = 2,204.86

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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.