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Finding the Fourth Proportional to 3,381, 4,665.78 and 1,984.02

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Solution

The fourth proportional to 3,381, 4,665.78 and 1,984.02 is: 2,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381 : 4,665.78 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    3,381/4,665.78 = 1,984.02/x
  3. Step 3: Cross multiply
    3,381x = 4,665.78 × 1,984.02
  4. Step 4: Simplify right side
    3,381x = 9,257,000.84
  5. Step 5: Solve for x
    x = 9,257,000.84/3,381
  6. Step 6: Final answer
    x = 2,737.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.