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Finding the Fourth Proportional to 2,138.11, 3,207.25 and 657.21

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Solution

The fourth proportional to 2,138.11, 3,207.25 and 657.21 is: 985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.11 : 3,207.25 = 657.21 : x
  2. Step 2: Convert to fraction form
    2,138.11/3,207.25 = 657.21/x
  3. Step 3: Cross multiply
    2,138.11x = 3,207.25 × 657.21
  4. Step 4: Simplify right side
    2,138.11x = 2,107,849.62
  5. Step 5: Solve for x
    x = 2,107,849.62/2,138.11
  6. Step 6: Final answer
    x = 985.85

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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.