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Finding the Fourth Proportional to 7,974.80, 11,956.80 and 4,227.20

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Solution

The fourth proportional to 7,974.80, 11,956.80 and 4,227.20 is: 6,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.80 : 11,956.80 = 4,227.20 : x
  2. Step 2: Convert to fraction form
    7,974.80/11,956.80 = 4,227.20/x
  3. Step 3: Cross multiply
    7,974.80x = 11,956.80 × 4,227.20
  4. Step 4: Simplify right side
    7,974.80x = 50,543,784.96
  5. Step 5: Solve for x
    x = 50,543,784.96/7,974.80
  6. Step 6: Final answer
    x = 6,337.94

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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.