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Finding the Fourth Proportional to 3,222.75, 4,822.38 and 2,754.57

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Solution

The fourth proportional to 3,222.75, 4,822.38 and 2,754.57 is: 4,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.75 : 4,822.38 = 2,754.57 : x
  2. Step 2: Convert to fraction form
    3,222.75/4,822.38 = 2,754.57/x
  3. Step 3: Cross multiply
    3,222.75x = 4,822.38 × 2,754.57
  4. Step 4: Simplify right side
    3,222.75x = 13,283,583.28
  5. Step 5: Solve for x
    x = 13,283,583.28/3,222.75
  6. Step 6: Final answer
    x = 4,121.82

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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.