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Finding the Fourth Proportional to 3,163.91, 4,743.29 and 2,817.92

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Solution

The fourth proportional to 3,163.91, 4,743.29 and 2,817.92 is: 4,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.91 : 4,743.29 = 2,817.92 : x
  2. Step 2: Convert to fraction form
    3,163.91/4,743.29 = 2,817.92/x
  3. Step 3: Cross multiply
    3,163.91x = 4,743.29 × 2,817.92
  4. Step 4: Simplify right side
    3,163.91x = 13,366,173.95
  5. Step 5: Solve for x
    x = 13,366,173.95/3,163.91
  6. Step 6: Final answer
    x = 4,224.58

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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.