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Finding the Fourth Proportional to 2,223.75, 3,336.39 and 838.05

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Solution

The fourth proportional to 2,223.75, 3,336.39 and 838.05 is: 1,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.75 : 3,336.39 = 838.05 : x
  2. Step 2: Convert to fraction form
    2,223.75/3,336.39 = 838.05/x
  3. Step 3: Cross multiply
    2,223.75x = 3,336.39 × 838.05
  4. Step 4: Simplify right side
    2,223.75x = 2,796,049.13
  5. Step 5: Solve for x
    x = 2,796,049.13/2,223.75
  6. Step 6: Final answer
    x = 1,257.36

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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.