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Finding the Fourth Proportional to 3,890.97, 5,827.30 and 1,910.41

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Solution

The fourth proportional to 3,890.97, 5,827.30 and 1,910.41 is: 2,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.97 : 5,827.30 = 1,910.41 : x
  2. Step 2: Convert to fraction form
    3,890.97/5,827.30 = 1,910.41/x
  3. Step 3: Cross multiply
    3,890.97x = 5,827.30 × 1,910.41
  4. Step 4: Simplify right side
    3,890.97x = 11,132,512.85
  5. Step 5: Solve for x
    x = 11,132,512.85/3,890.97
  6. Step 6: Final answer
    x = 2,861.12

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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.