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Finding the Fourth Proportional to 2,559.30, 3,838.97 and 827.93

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Solution

The fourth proportional to 2,559.30, 3,838.97 and 827.93 is: 1,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.30 : 3,838.97 = 827.93 : x
  2. Step 2: Convert to fraction form
    2,559.30/3,838.97 = 827.93/x
  3. Step 3: Cross multiply
    2,559.30x = 3,838.97 × 827.93
  4. Step 4: Simplify right side
    2,559.30x = 3,178,375.10
  5. Step 5: Solve for x
    x = 3,178,375.10/2,559.30
  6. Step 6: Final answer
    x = 1,241.89

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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.