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Finding the Fourth Proportional to 5,255.64, 7,871.28 and 3,771

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Solution

The fourth proportional to 5,255.64, 7,871.28 and 3,771 is: 5,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.64 : 7,871.28 = 3,771 : x
  2. Step 2: Convert to fraction form
    5,255.64/7,871.28 = 3,771/x
  3. Step 3: Cross multiply
    5,255.64x = 7,871.28 × 3,771
  4. Step 4: Simplify right side
    5,255.64x = 29,682,596.88
  5. Step 5: Solve for x
    x = 29,682,596.88/5,255.64
  6. Step 6: Final answer
    x = 5,647.76

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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.