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Finding the Fourth Proportional to 2,469.96, 3,404.97 and 1,879.47

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Solution

The fourth proportional to 2,469.96, 3,404.97 and 1,879.47 is: 2,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.96 : 3,404.97 = 1,879.47 : x
  2. Step 2: Convert to fraction form
    2,469.96/3,404.97 = 1,879.47/x
  3. Step 3: Cross multiply
    2,469.96x = 3,404.97 × 1,879.47
  4. Step 4: Simplify right side
    2,469.96x = 6,399,538.97
  5. Step 5: Solve for x
    x = 6,399,538.97/2,469.96
  6. Step 6: Final answer
    x = 2,590.95

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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.