Home / 3,102.57-4,282.61-1,983.96

Finding the Fourth Proportional to 3,102.57, 4,282.61 and 1,983.96

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Solution

The fourth proportional to 3,102.57, 4,282.61 and 1,983.96 is: 2,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.57 : 4,282.61 = 1,983.96 : x
  2. Step 2: Convert to fraction form
    3,102.57/4,282.61 = 1,983.96/x
  3. Step 3: Cross multiply
    3,102.57x = 4,282.61 × 1,983.96
  4. Step 4: Simplify right side
    3,102.57x = 8,496,517.02
  5. Step 5: Solve for x
    x = 8,496,517.02/3,102.57
  6. Step 6: Final answer
    x = 2,738.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.