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Finding the Fourth Proportional to 9,121.78, 13,674.39 and 3,277

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Solution

The fourth proportional to 9,121.78, 13,674.39 and 3,277 is: 4,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.78 : 13,674.39 = 3,277 : x
  2. Step 2: Convert to fraction form
    9,121.78/13,674.39 = 3,277/x
  3. Step 3: Cross multiply
    9,121.78x = 13,674.39 × 3,277
  4. Step 4: Simplify right side
    9,121.78x = 44,810,976.03
  5. Step 5: Solve for x
    x = 44,810,976.03/9,121.78
  6. Step 6: Final answer
    x = 4,912.53

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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.