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Finding the Fourth Proportional to 3,991.50, 5,998.10 and 2,143.96

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Solution

The fourth proportional to 3,991.50, 5,998.10 and 2,143.96 is: 3,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.50 : 5,998.10 = 2,143.96 : x
  2. Step 2: Convert to fraction form
    3,991.50/5,998.10 = 2,143.96/x
  3. Step 3: Cross multiply
    3,991.50x = 5,998.10 × 2,143.96
  4. Step 4: Simplify right side
    3,991.50x = 12,859,660.76
  5. Step 5: Solve for x
    x = 12,859,660.76/3,991.50
  6. Step 6: Final answer
    x = 3,221.76

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1.5x scale

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.