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Finding the Fourth Proportional to 3,163.70, 4,738.70 and 2,064.74

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Solution

The fourth proportional to 3,163.70, 4,738.70 and 2,064.74 is: 3,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.70 : 4,738.70 = 2,064.74 : x
  2. Step 2: Convert to fraction form
    3,163.70/4,738.70 = 2,064.74/x
  3. Step 3: Cross multiply
    3,163.70x = 4,738.70 × 2,064.74
  4. Step 4: Simplify right side
    3,163.70x = 9,784,183.44
  5. Step 5: Solve for x
    x = 9,784,183.44/3,163.70
  6. Step 6: Final answer
    x = 3,092.64

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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.