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Finding the Fourth Proportional to 2,001.21, 3,001.81 and 1,658.49

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Solution

The fourth proportional to 2,001.21, 3,001.81 and 1,658.49 is: 2,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.21 : 3,001.81 = 1,658.49 : x
  2. Step 2: Convert to fraction form
    2,001.21/3,001.81 = 1,658.49/x
  3. Step 3: Cross multiply
    2,001.21x = 3,001.81 × 1,658.49
  4. Step 4: Simplify right side
    2,001.21x = 4,978,471.87
  5. Step 5: Solve for x
    x = 4,978,471.87/2,001.21
  6. Step 6: Final answer
    x = 2,487.73

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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.