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Finding the Fourth Proportional to 5,251.41, 7,857.67 and 3,865.77

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Solution

The fourth proportional to 5,251.41, 7,857.67 and 3,865.77 is: 5,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.41 : 7,857.67 = 3,865.77 : x
  2. Step 2: Convert to fraction form
    5,251.41/7,857.67 = 3,865.77/x
  3. Step 3: Cross multiply
    5,251.41x = 7,857.67 × 3,865.77
  4. Step 4: Simplify right side
    5,251.41x = 30,375,944.96
  5. Step 5: Solve for x
    x = 30,375,944.96/5,251.41
  6. Step 6: Final answer
    x = 5,784.34

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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.