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Finding the Fourth Proportional to 3,983.72, 5,970.11 and 2,031.82

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Solution

The fourth proportional to 3,983.72, 5,970.11 and 2,031.82 is: 3,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.72 : 5,970.11 = 2,031.82 : x
  2. Step 2: Convert to fraction form
    3,983.72/5,970.11 = 2,031.82/x
  3. Step 3: Cross multiply
    3,983.72x = 5,970.11 × 2,031.82
  4. Step 4: Simplify right side
    3,983.72x = 12,130,163.82
  5. Step 5: Solve for x
    x = 12,130,163.82/3,983.72
  6. Step 6: Final answer
    x = 3,044.94

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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.