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Finding the Fourth Proportional to 2,857.14, 3,958.02 and 2,789.10

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Solution

The fourth proportional to 2,857.14, 3,958.02 and 2,789.10 is: 3,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.14 : 3,958.02 = 2,789.10 : x
  2. Step 2: Convert to fraction form
    2,857.14/3,958.02 = 2,789.10/x
  3. Step 3: Cross multiply
    2,857.14x = 3,958.02 × 2,789.10
  4. Step 4: Simplify right side
    2,857.14x = 11,039,313.58
  5. Step 5: Solve for x
    x = 11,039,313.58/2,857.14
  6. Step 6: Final answer
    x = 3,863.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.