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Finding the Fourth Proportional to 6,806.12, 10,213.13 and 2,649

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Solution

The fourth proportional to 6,806.12, 10,213.13 and 2,649 is: 3,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.12 : 10,213.13 = 2,649 : x
  2. Step 2: Convert to fraction form
    6,806.12/10,213.13 = 2,649/x
  3. Step 3: Cross multiply
    6,806.12x = 10,213.13 × 2,649
  4. Step 4: Simplify right side
    6,806.12x = 27,054,568.13
  5. Step 5: Solve for x
    x = 27,054,568.13/6,806.12
  6. Step 6: Final answer
    x = 3,975.04

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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.