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Finding the Fourth Proportional to 2,238.39, 3,357.81 and 851.40

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Solution

The fourth proportional to 2,238.39, 3,357.81 and 851.40 is: 1,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.39 : 3,357.81 = 851.40 : x
  2. Step 2: Convert to fraction form
    2,238.39/3,357.81 = 851.40/x
  3. Step 3: Cross multiply
    2,238.39x = 3,357.81 × 851.40
  4. Step 4: Simplify right side
    2,238.39x = 2,858,839.43
  5. Step 5: Solve for x
    x = 2,858,839.43/2,238.39
  6. Step 6: Final answer
    x = 1,277.19

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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.