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Finding the Fourth Proportional to 2,676.67, 4,015.02 and 827.80

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Solution

The fourth proportional to 2,676.67, 4,015.02 and 827.80 is: 1,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.67 : 4,015.02 = 827.80 : x
  2. Step 2: Convert to fraction form
    2,676.67/4,015.02 = 827.80/x
  3. Step 3: Cross multiply
    2,676.67x = 4,015.02 × 827.80
  4. Step 4: Simplify right side
    2,676.67x = 3,323,633.56
  5. Step 5: Solve for x
    x = 3,323,633.56/2,676.67
  6. Step 6: Final answer
    x = 1,241.70

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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.