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Finding the Fourth Proportional to 2,558.78, 3,838.92 and 827.36

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Solution

The fourth proportional to 2,558.78, 3,838.92 and 827.36 is: 1,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.78 : 3,838.92 = 827.36 : x
  2. Step 2: Convert to fraction form
    2,558.78/3,838.92 = 827.36/x
  3. Step 3: Cross multiply
    2,558.78x = 3,838.92 × 827.36
  4. Step 4: Simplify right side
    2,558.78x = 3,176,168.85
  5. Step 5: Solve for x
    x = 3,176,168.85/2,558.78
  6. Step 6: Final answer
    x = 1,241.28

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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.