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Finding the Fourth Proportional to 2,511.86, 3,768.62 and 868.41

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Solution

The fourth proportional to 2,511.86, 3,768.62 and 868.41 is: 1,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.86 : 3,768.62 = 868.41 : x
  2. Step 2: Convert to fraction form
    2,511.86/3,768.62 = 868.41/x
  3. Step 3: Cross multiply
    2,511.86x = 3,768.62 × 868.41
  4. Step 4: Simplify right side
    2,511.86x = 3,272,702.95
  5. Step 5: Solve for x
    x = 3,272,702.95/2,511.86
  6. Step 6: Final answer
    x = 1,302.90

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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.