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Finding the Fourth Proportional to 2,558.64, 3,838.68 and 827.40

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Solution

The fourth proportional to 2,558.64, 3,838.68 and 827.40 is: 1,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.64 : 3,838.68 = 827.40 : x
  2. Step 2: Convert to fraction form
    2,558.64/3,838.68 = 827.40/x
  3. Step 3: Cross multiply
    2,558.64x = 3,838.68 × 827.40
  4. Step 4: Simplify right side
    2,558.64x = 3,176,123.83
  5. Step 5: Solve for x
    x = 3,176,123.83/2,558.64
  6. Step 6: Final answer
    x = 1,241.33

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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.