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Finding the Fourth Proportional to 2,838.82, 4,257.12 and 863.84

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Solution

The fourth proportional to 2,838.82, 4,257.12 and 863.84 is: 1,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.82 : 4,257.12 = 863.84 : x
  2. Step 2: Convert to fraction form
    2,838.82/4,257.12 = 863.84/x
  3. Step 3: Cross multiply
    2,838.82x = 4,257.12 × 863.84
  4. Step 4: Simplify right side
    2,838.82x = 3,677,470.54
  5. Step 5: Solve for x
    x = 3,677,470.54/2,838.82
  6. Step 6: Final answer
    x = 1,295.42

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1.5x scale

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.