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Finding the Fourth Proportional to 2,138.70, 3,200.85 and 1,965.90

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Solution

The fourth proportional to 2,138.70, 3,200.85 and 1,965.90 is: 2,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.70 : 3,200.85 = 1,965.90 : x
  2. Step 2: Convert to fraction form
    2,138.70/3,200.85 = 1,965.90/x
  3. Step 3: Cross multiply
    2,138.70x = 3,200.85 × 1,965.90
  4. Step 4: Simplify right side
    2,138.70x = 6,292,551.02
  5. Step 5: Solve for x
    x = 6,292,551.02/2,138.70
  6. Step 6: Final answer
    x = 2,942.23

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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.