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Finding the Fourth Proportional to 2,789.82, 4,184.73 and 1,229.49

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Solution

The fourth proportional to 2,789.82, 4,184.73 and 1,229.49 is: 1,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.82 : 4,184.73 = 1,229.49 : x
  2. Step 2: Convert to fraction form
    2,789.82/4,184.73 = 1,229.49/x
  3. Step 3: Cross multiply
    2,789.82x = 4,184.73 × 1,229.49
  4. Step 4: Simplify right side
    2,789.82x = 5,145,083.69
  5. Step 5: Solve for x
    x = 5,145,083.69/2,789.82
  6. Step 6: Final answer
    x = 1,844.24

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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.