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Finding the Fourth Proportional to 21,902, 30,224.80 and 11,966

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Solution

The fourth proportional to 21,902, 30,224.80 and 11,966 is: 16,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902 : 30,224.80 = 11,966 : x
  2. Step 2: Convert to fraction form
    21,902/30,224.80 = 11,966/x
  3. Step 3: Cross multiply
    21,902x = 30,224.80 × 11,966
  4. Step 4: Simplify right side
    21,902x = 361,669,956.80
  5. Step 5: Solve for x
    x = 361,669,956.80/21,902
  6. Step 6: Final answer
    x = 16,513.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.