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Finding the Fourth Proportional to 4,747.87, 7,107.96 and 2,767.44

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Solution

The fourth proportional to 4,747.87, 7,107.96 and 2,767.44 is: 4,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.87 : 7,107.96 = 2,767.44 : x
  2. Step 2: Convert to fraction form
    4,747.87/7,107.96 = 2,767.44/x
  3. Step 3: Cross multiply
    4,747.87x = 7,107.96 × 2,767.44
  4. Step 4: Simplify right side
    4,747.87x = 19,670,835.05
  5. Step 5: Solve for x
    x = 19,670,835.05/4,747.87
  6. Step 6: Final answer
    x = 4,143.09

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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.