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Finding the Fourth Proportional to 2,872.56, 4,305.96 and 2,006.64

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Solution

The fourth proportional to 2,872.56, 4,305.96 and 2,006.64 is: 3,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.56 : 4,305.96 = 2,006.64 : x
  2. Step 2: Convert to fraction form
    2,872.56/4,305.96 = 2,006.64/x
  3. Step 3: Cross multiply
    2,872.56x = 4,305.96 × 2,006.64
  4. Step 4: Simplify right side
    2,872.56x = 8,640,511.57
  5. Step 5: Solve for x
    x = 8,640,511.57/2,872.56
  6. Step 6: Final answer
    x = 3,007.95

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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.