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Finding the Fourth Proportional to 3,910.26, 5,865.78 and 1,136.96

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Solution

The fourth proportional to 3,910.26, 5,865.78 and 1,136.96 is: 1,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.26 : 5,865.78 = 1,136.96 : x
  2. Step 2: Convert to fraction form
    3,910.26/5,865.78 = 1,136.96/x
  3. Step 3: Cross multiply
    3,910.26x = 5,865.78 × 1,136.96
  4. Step 4: Simplify right side
    3,910.26x = 6,669,157.23
  5. Step 5: Solve for x
    x = 6,669,157.23/3,910.26
  6. Step 6: Final answer
    x = 1,705.55

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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.