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Finding the Fourth Proportional to 5,084.85, 7,621.43 and 1,963.49

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Solution

The fourth proportional to 5,084.85, 7,621.43 and 1,963.49 is: 2,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.85 : 7,621.43 = 1,963.49 : x
  2. Step 2: Convert to fraction form
    5,084.85/7,621.43 = 1,963.49/x
  3. Step 3: Cross multiply
    5,084.85x = 7,621.43 × 1,963.49
  4. Step 4: Simplify right side
    5,084.85x = 14,964,553.67
  5. Step 5: Solve for x
    x = 14,964,553.67/5,084.85
  6. Step 6: Final answer
    x = 2,942.97

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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.