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Finding the Fourth Proportional to 7,928, 11,892 and 3,311

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Solution

The fourth proportional to 7,928, 11,892 and 3,311 is: 4,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928 : 11,892 = 3,311 : x
  2. Step 2: Convert to fraction form
    7,928/11,892 = 3,311/x
  3. Step 3: Cross multiply
    7,928x = 11,892 × 3,311
  4. Step 4: Simplify right side
    7,928x = 39,374,412
  5. Step 5: Solve for x
    x = 39,374,412/7,928
  6. Step 6: Final answer
    x = 4,966.50

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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.