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Finding the Fourth Proportional to 2,511.72, 3,768.50 and 868.44

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Solution

The fourth proportional to 2,511.72, 3,768.50 and 868.44 is: 1,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.72 : 3,768.50 = 868.44 : x
  2. Step 2: Convert to fraction form
    2,511.72/3,768.50 = 868.44/x
  3. Step 3: Cross multiply
    2,511.72x = 3,768.50 × 868.44
  4. Step 4: Simplify right side
    2,511.72x = 3,272,711.80
  5. Step 5: Solve for x
    x = 3,272,711.80/2,511.72
  6. Step 6: Final answer
    x = 1,302.98

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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.