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Finding the Fourth Proportional to 21,908, 30,233.04 and 11,972

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Solution

The fourth proportional to 21,908, 30,233.04 and 11,972 is: 16,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908 : 30,233.04 = 11,972 : x
  2. Step 2: Convert to fraction form
    21,908/30,233.04 = 11,972/x
  3. Step 3: Cross multiply
    21,908x = 30,233.04 × 11,972
  4. Step 4: Simplify right side
    21,908x = 361,949,954.88
  5. Step 5: Solve for x
    x = 361,949,954.88/21,908
  6. Step 6: Final answer
    x = 16,521.36

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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.