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Finding the Fourth Proportional to 21,311.20, 31,981.20 and 11,951.20

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Solution

The fourth proportional to 21,311.20, 31,981.20 and 11,951.20 is: 17,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.20 : 31,981.20 = 11,951.20 : x
  2. Step 2: Convert to fraction form
    21,311.20/31,981.20 = 11,951.20/x
  3. Step 3: Cross multiply
    21,311.20x = 31,981.20 × 11,951.20
  4. Step 4: Simplify right side
    21,311.20x = 382,213,717.44
  5. Step 5: Solve for x
    x = 382,213,717.44/21,311.20
  6. Step 6: Final answer
    x = 17,934.88

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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.