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Finding the Fourth Proportional to 21,930, 32,895 and 7,338

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Solution

The fourth proportional to 21,930, 32,895 and 7,338 is: 11,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930 : 32,895 = 7,338 : x
  2. Step 2: Convert to fraction form
    21,930/32,895 = 7,338/x
  3. Step 3: Cross multiply
    21,930x = 32,895 × 7,338
  4. Step 4: Simplify right side
    21,930x = 241,383,510
  5. Step 5: Solve for x
    x = 241,383,510/21,930
  6. Step 6: Final answer
    x = 11,007

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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.