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Finding the Fourth Proportional to 2,838.05, 4,257.08 and 890.41

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Solution

The fourth proportional to 2,838.05, 4,257.08 and 890.41 is: 1,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.05 : 4,257.08 = 890.41 : x
  2. Step 2: Convert to fraction form
    2,838.05/4,257.08 = 890.41/x
  3. Step 3: Cross multiply
    2,838.05x = 4,257.08 × 890.41
  4. Step 4: Simplify right side
    2,838.05x = 3,790,520.87
  5. Step 5: Solve for x
    x = 3,790,520.87/2,838.05
  6. Step 6: Final answer
    x = 1,335.61

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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.