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Finding the Fourth Proportional to 22,620, 33,930 and 7,824.95

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Solution

The fourth proportional to 22,620, 33,930 and 7,824.95 is: 11,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620 : 33,930 = 7,824.95 : x
  2. Step 2: Convert to fraction form
    22,620/33,930 = 7,824.95/x
  3. Step 3: Cross multiply
    22,620x = 33,930 × 7,824.95
  4. Step 4: Simplify right side
    22,620x = 265,500,383.85
  5. Step 5: Solve for x
    x = 265,500,383.85/22,620
  6. Step 6: Final answer
    x = 11,737.42

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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.