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Finding the Fourth Proportional to 3,856.80, 5,777.10 and 3,031.14

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Solution

The fourth proportional to 3,856.80, 5,777.10 and 3,031.14 is: 4,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.80 : 5,777.10 = 3,031.14 : x
  2. Step 2: Convert to fraction form
    3,856.80/5,777.10 = 3,031.14/x
  3. Step 3: Cross multiply
    3,856.80x = 5,777.10 × 3,031.14
  4. Step 4: Simplify right side
    3,856.80x = 17,511,198.89
  5. Step 5: Solve for x
    x = 17,511,198.89/3,856.80
  6. Step 6: Final answer
    x = 4,540.34

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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.