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Finding the Fourth Proportional to 2,138.22, 3,205.29 and 676.38

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Solution

The fourth proportional to 2,138.22, 3,205.29 and 676.38 is: 1,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.22 : 3,205.29 = 676.38 : x
  2. Step 2: Convert to fraction form
    2,138.22/3,205.29 = 676.38/x
  3. Step 3: Cross multiply
    2,138.22x = 3,205.29 × 676.38
  4. Step 4: Simplify right side
    2,138.22x = 2,167,994.05
  5. Step 5: Solve for x
    x = 2,167,994.05/2,138.22
  6. Step 6: Final answer
    x = 1,013.92

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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.