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Finding the Fourth Proportional to 6,311.49, 8,709.87 and 3,793.65

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Solution

The fourth proportional to 6,311.49, 8,709.87 and 3,793.65 is: 5,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.49 : 8,709.87 = 3,793.65 : x
  2. Step 2: Convert to fraction form
    6,311.49/8,709.87 = 3,793.65/x
  3. Step 3: Cross multiply
    6,311.49x = 8,709.87 × 3,793.65
  4. Step 4: Simplify right side
    6,311.49x = 33,042,198.33
  5. Step 5: Solve for x
    x = 33,042,198.33/6,311.49
  6. Step 6: Final answer
    x = 5,235.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.