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Finding the Fourth Proportional to 2,576.92, 3,872.98 and 2,141

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Solution

The fourth proportional to 2,576.92, 3,872.98 and 2,141 is: 3,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.92 : 3,872.98 = 2,141 : x
  2. Step 2: Convert to fraction form
    2,576.92/3,872.98 = 2,141/x
  3. Step 3: Cross multiply
    2,576.92x = 3,872.98 × 2,141
  4. Step 4: Simplify right side
    2,576.92x = 8,292,050.18
  5. Step 5: Solve for x
    x = 8,292,050.18/2,576.92
  6. Step 6: Final answer
    x = 3,217.81

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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.