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Finding the Fourth Proportional to 6,805.81, 10,213.08 and 3,687.97

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Solution

The fourth proportional to 6,805.81, 10,213.08 and 3,687.97 is: 5,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.81 : 10,213.08 = 3,687.97 : x
  2. Step 2: Convert to fraction form
    6,805.81/10,213.08 = 3,687.97/x
  3. Step 3: Cross multiply
    6,805.81x = 10,213.08 × 3,687.97
  4. Step 4: Simplify right side
    6,805.81x = 37,665,532.65
  5. Step 5: Solve for x
    x = 37,665,532.65/6,805.81
  6. Step 6: Final answer
    x = 5,534.32

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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.