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Finding the Fourth Proportional to 2,872.92, 4,311 and 2,850.96

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Solution

The fourth proportional to 2,872.92, 4,311 and 2,850.96 is: 4,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.92 : 4,311 = 2,850.96 : x
  2. Step 2: Convert to fraction form
    2,872.92/4,311 = 2,850.96/x
  3. Step 3: Cross multiply
    2,872.92x = 4,311 × 2,850.96
  4. Step 4: Simplify right side
    2,872.92x = 12,290,488.56
  5. Step 5: Solve for x
    x = 12,290,488.56/2,872.92
  6. Step 6: Final answer
    x = 4,278.05

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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.