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Finding the Fourth Proportional to 6,207.84, 8,568.16 and 3,819.85

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Solution

The fourth proportional to 6,207.84, 8,568.16 and 3,819.85 is: 5,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.84 : 8,568.16 = 3,819.85 : x
  2. Step 2: Convert to fraction form
    6,207.84/8,568.16 = 3,819.85/x
  3. Step 3: Cross multiply
    6,207.84x = 8,568.16 × 3,819.85
  4. Step 4: Simplify right side
    6,207.84x = 32,729,055.01
  5. Step 5: Solve for x
    x = 32,729,055.01/6,207.84
  6. Step 6: Final answer
    x = 5,272.21

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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.