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Finding the Fourth Proportional to 21,992, 30,349.34 and 11,920.78

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Solution

The fourth proportional to 21,992, 30,349.34 and 11,920.78 is: 16,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992 : 30,349.34 = 11,920.78 : x
  2. Step 2: Convert to fraction form
    21,992/30,349.34 = 11,920.78/x
  3. Step 3: Cross multiply
    21,992x = 30,349.34 × 11,920.78
  4. Step 4: Simplify right side
    21,992x = 361,787,805.29
  5. Step 5: Solve for x
    x = 361,787,805.29/21,992
  6. Step 6: Final answer
    x = 16,450.88

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1.5x scale

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.