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Finding the Fourth Proportional to 22,192, 33,288 and 5,776

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Solution

The fourth proportional to 22,192, 33,288 and 5,776 is: 8,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,192 : 33,288 = 5,776 : x
  2. Step 2: Convert to fraction form
    22,192/33,288 = 5,776/x
  3. Step 3: Cross multiply
    22,192x = 33,288 × 5,776
  4. Step 4: Simplify right side
    22,192x = 192,271,488
  5. Step 5: Solve for x
    x = 192,271,488/22,192
  6. Step 6: Final answer
    x = 8,664

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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.