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Finding the Fourth Proportional to 22,338, 33,507 and 5,922

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Solution

The fourth proportional to 22,338, 33,507 and 5,922 is: 8,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338 : 33,507 = 5,922 : x
  2. Step 2: Convert to fraction form
    22,338/33,507 = 5,922/x
  3. Step 3: Cross multiply
    22,338x = 33,507 × 5,922
  4. Step 4: Simplify right side
    22,338x = 198,428,454
  5. Step 5: Solve for x
    x = 198,428,454/22,338
  6. Step 6: Final answer
    x = 8,883

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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.