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Finding the Fourth Proportional to 2,813, 4,222.74 and 1,274

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Solution

The fourth proportional to 2,813, 4,222.74 and 1,274 is: 1,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813 : 4,222.74 = 1,274 : x
  2. Step 2: Convert to fraction form
    2,813/4,222.74 = 1,274/x
  3. Step 3: Cross multiply
    2,813x = 4,222.74 × 1,274
  4. Step 4: Simplify right side
    2,813x = 5,379,770.76
  5. Step 5: Solve for x
    x = 5,379,770.76/2,813
  6. Step 6: Final answer
    x = 1,912.47

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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.