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Finding the Fourth Proportional to 22,254, 33,381 and 9,942

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Solution

The fourth proportional to 22,254, 33,381 and 9,942 is: 14,913

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254 : 33,381 = 9,942 : x
  2. Step 2: Convert to fraction form
    22,254/33,381 = 9,942/x
  3. Step 3: Cross multiply
    22,254x = 33,381 × 9,942
  4. Step 4: Simplify right side
    22,254x = 331,873,902
  5. Step 5: Solve for x
    x = 331,873,902/22,254
  6. Step 6: Final answer
    x = 14,913

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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.