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Finding the Fourth Proportional to 5,450, 8,162 and 3,136.64

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Solution

The fourth proportional to 5,450, 8,162 and 3,136.64 is: 4,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450 : 8,162 = 3,136.64 : x
  2. Step 2: Convert to fraction form
    5,450/8,162 = 3,136.64/x
  3. Step 3: Cross multiply
    5,450x = 8,162 × 3,136.64
  4. Step 4: Simplify right side
    5,450x = 25,601,255.68
  5. Step 5: Solve for x
    x = 25,601,255.68/5,450
  6. Step 6: Final answer
    x = 4,697.48

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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.