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Finding the Fourth Proportional to 4,936.85, 6,809.09 and 3,144.65

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Solution

The fourth proportional to 4,936.85, 6,809.09 and 3,144.65 is: 4,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.85 : 6,809.09 = 3,144.65 : x
  2. Step 2: Convert to fraction form
    4,936.85/6,809.09 = 3,144.65/x
  3. Step 3: Cross multiply
    4,936.85x = 6,809.09 × 3,144.65
  4. Step 4: Simplify right side
    4,936.85x = 21,412,183.09
  5. Step 5: Solve for x
    x = 21,412,183.09/4,936.85
  6. Step 6: Final answer
    x = 4,337.22

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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.