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Finding the Fourth Proportional to 3,787.86, 5,680.56 and 3,301.86

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Solution

The fourth proportional to 3,787.86, 5,680.56 and 3,301.86 is: 4,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.86 : 5,680.56 = 3,301.86 : x
  2. Step 2: Convert to fraction form
    3,787.86/5,680.56 = 3,301.86/x
  3. Step 3: Cross multiply
    3,787.86x = 5,680.56 × 3,301.86
  4. Step 4: Simplify right side
    3,787.86x = 18,756,413.84
  5. Step 5: Solve for x
    x = 18,756,413.84/3,787.86
  6. Step 6: Final answer
    x = 4,951.72

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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.