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Finding the Fourth Proportional to 3,222.78, 4,837 and 1,838.89

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Solution

The fourth proportional to 3,222.78, 4,837 and 1,838.89 is: 2,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.78 : 4,837 = 1,838.89 : x
  2. Step 2: Convert to fraction form
    3,222.78/4,837 = 1,838.89/x
  3. Step 3: Cross multiply
    3,222.78x = 4,837 × 1,838.89
  4. Step 4: Simplify right side
    3,222.78x = 8,894,710.93
  5. Step 5: Solve for x
    x = 8,894,710.93/3,222.78
  6. Step 6: Final answer
    x = 2,759.95

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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.