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Finding the Fourth Proportional to 21,926, 30,257.88 and 11,990

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Solution

The fourth proportional to 21,926, 30,257.88 and 11,990 is: 16,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926 : 30,257.88 = 11,990 : x
  2. Step 2: Convert to fraction form
    21,926/30,257.88 = 11,990/x
  3. Step 3: Cross multiply
    21,926x = 30,257.88 × 11,990
  4. Step 4: Simplify right side
    21,926x = 362,791,981.20
  5. Step 5: Solve for x
    x = 362,791,981.20/21,926
  6. Step 6: Final answer
    x = 16,546.20

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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.