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Finding the Fourth Proportional to 2,558.55, 3,837.84 and 827.18

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Solution

The fourth proportional to 2,558.55, 3,837.84 and 827.18 is: 1,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.55 : 3,837.84 = 827.18 : x
  2. Step 2: Convert to fraction form
    2,558.55/3,837.84 = 827.18/x
  3. Step 3: Cross multiply
    2,558.55x = 3,837.84 × 827.18
  4. Step 4: Simplify right side
    2,558.55x = 3,174,565.30
  5. Step 5: Solve for x
    x = 3,174,565.30/2,558.55
  6. Step 6: Final answer
    x = 1,240.77

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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.