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Finding the Fourth Proportional to 2,857.62, 4,286.55 and 1,398

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Solution

The fourth proportional to 2,857.62, 4,286.55 and 1,398 is: 2,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.62 : 4,286.55 = 1,398 : x
  2. Step 2: Convert to fraction form
    2,857.62/4,286.55 = 1,398/x
  3. Step 3: Cross multiply
    2,857.62x = 4,286.55 × 1,398
  4. Step 4: Simplify right side
    2,857.62x = 5,992,596.90
  5. Step 5: Solve for x
    x = 5,992,596.90/2,857.62
  6. Step 6: Final answer
    x = 2,097.06

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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.