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Finding the Fourth Proportional to 5,255.40, 7,876.40 and 2,791.40

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Solution

The fourth proportional to 5,255.40, 7,876.40 and 2,791.40 is: 4,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.40 : 7,876.40 = 2,791.40 : x
  2. Step 2: Convert to fraction form
    5,255.40/7,876.40 = 2,791.40/x
  3. Step 3: Cross multiply
    5,255.40x = 7,876.40 × 2,791.40
  4. Step 4: Simplify right side
    5,255.40x = 21,986,182.96
  5. Step 5: Solve for x
    x = 21,986,182.96/5,255.40
  6. Step 6: Final answer
    x = 4,183.54

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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.