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Finding the Fourth Proportional to 2,149.80, 3,209.12 and 1,997.88

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Solution

The fourth proportional to 2,149.80, 3,209.12 and 1,997.88 is: 2,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.80 : 3,209.12 = 1,997.88 : x
  2. Step 2: Convert to fraction form
    2,149.80/3,209.12 = 1,997.88/x
  3. Step 3: Cross multiply
    2,149.80x = 3,209.12 × 1,997.88
  4. Step 4: Simplify right side
    2,149.80x = 6,411,426.68
  5. Step 5: Solve for x
    x = 6,411,426.68/2,149.80
  6. Step 6: Final answer
    x = 2,982.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.