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Finding the Fourth Proportional to 4,789.92, 7,192.44 and 2,850.78

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Solution

The fourth proportional to 4,789.92, 7,192.44 and 2,850.78 is: 4,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.92 : 7,192.44 = 2,850.78 : x
  2. Step 2: Convert to fraction form
    4,789.92/7,192.44 = 2,850.78/x
  3. Step 3: Cross multiply
    4,789.92x = 7,192.44 × 2,850.78
  4. Step 4: Simplify right side
    4,789.92x = 20,504,064.10
  5. Step 5: Solve for x
    x = 20,504,064.10/4,789.92
  6. Step 6: Final answer
    x = 4,280.67

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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.