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Finding the Fourth Proportional to 2,138.17, 3,207.17 and 676.93

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Solution

The fourth proportional to 2,138.17, 3,207.17 and 676.93 is: 1,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.17 : 3,207.17 = 676.93 : x
  2. Step 2: Convert to fraction form
    2,138.17/3,207.17 = 676.93/x
  3. Step 3: Cross multiply
    2,138.17x = 3,207.17 × 676.93
  4. Step 4: Simplify right side
    2,138.17x = 2,171,029.59
  5. Step 5: Solve for x
    x = 2,171,029.59/2,138.17
  6. Step 6: Final answer
    x = 1,015.37

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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.