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Finding the Fourth Proportional to 2,857, 4,286.24 and 805

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Solution

The fourth proportional to 2,857, 4,286.24 and 805 is: 1,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857 : 4,286.24 = 805 : x
  2. Step 2: Convert to fraction form
    2,857/4,286.24 = 805/x
  3. Step 3: Cross multiply
    2,857x = 4,286.24 × 805
  4. Step 4: Simplify right side
    2,857x = 3,450,423.20
  5. Step 5: Solve for x
    x = 3,450,423.20/2,857
  6. Step 6: Final answer
    x = 1,207.71

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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.