Home / 2,286.39-3,429.96-805.23

Finding the Fourth Proportional to 2,286.39, 3,429.96 and 805.23

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Solution

The fourth proportional to 2,286.39, 3,429.96 and 805.23 is: 1,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.39 : 3,429.96 = 805.23 : x
  2. Step 2: Convert to fraction form
    2,286.39/3,429.96 = 805.23/x
  3. Step 3: Cross multiply
    2,286.39x = 3,429.96 × 805.23
  4. Step 4: Simplify right side
    2,286.39x = 2,761,902.66
  5. Step 5: Solve for x
    x = 2,761,902.66/2,286.39
  6. Step 6: Final answer
    x = 1,207.98

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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.