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Finding the Fourth Proportional to 3,249.09, 4,877.82 and 2,789.82

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Solution

The fourth proportional to 3,249.09, 4,877.82 and 2,789.82 is: 4,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.09 : 4,877.82 = 2,789.82 : x
  2. Step 2: Convert to fraction form
    3,249.09/4,877.82 = 2,789.82/x
  3. Step 3: Cross multiply
    3,249.09x = 4,877.82 × 2,789.82
  4. Step 4: Simplify right side
    3,249.09x = 13,608,239.79
  5. Step 5: Solve for x
    x = 13,608,239.79/3,249.09
  6. Step 6: Final answer
    x = 4,188.32

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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.