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Finding the Fourth Proportional to 2,676.39, 4,011.86 and 920.87

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Solution

The fourth proportional to 2,676.39, 4,011.86 and 920.87 is: 1,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.39 : 4,011.86 = 920.87 : x
  2. Step 2: Convert to fraction form
    2,676.39/4,011.86 = 920.87/x
  3. Step 3: Cross multiply
    2,676.39x = 4,011.86 × 920.87
  4. Step 4: Simplify right side
    2,676.39x = 3,694,396.91
  5. Step 5: Solve for x
    x = 3,694,396.91/2,676.39
  6. Step 6: Final answer
    x = 1,380.37

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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.