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Finding the Fourth Proportional to 7,956.67, 11,936.52 and 3,213.21

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Solution

The fourth proportional to 7,956.67, 11,936.52 and 3,213.21 is: 4,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.67 : 11,936.52 = 3,213.21 : x
  2. Step 2: Convert to fraction form
    7,956.67/11,936.52 = 3,213.21/x
  3. Step 3: Cross multiply
    7,956.67x = 11,936.52 × 3,213.21
  4. Step 4: Simplify right side
    7,956.67x = 38,354,545.43
  5. Step 5: Solve for x
    x = 38,354,545.43/7,956.67
  6. Step 6: Final answer
    x = 4,820.43

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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.