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Finding the Fourth Proportional to 6,319.76, 9,480.84 and 2,857

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Solution

The fourth proportional to 6,319.76, 9,480.84 and 2,857 is: 4,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.76 : 9,480.84 = 2,857 : x
  2. Step 2: Convert to fraction form
    6,319.76/9,480.84 = 2,857/x
  3. Step 3: Cross multiply
    6,319.76x = 9,480.84 × 2,857
  4. Step 4: Simplify right side
    6,319.76x = 27,086,759.88
  5. Step 5: Solve for x
    x = 27,086,759.88/6,319.76
  6. Step 6: Final answer
    x = 4,286.04

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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.