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Finding the Fourth Proportional to 22,036, 33,054 and 20,928.64

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Solution

The fourth proportional to 22,036, 33,054 and 20,928.64 is: 31,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036 : 33,054 = 20,928.64 : x
  2. Step 2: Convert to fraction form
    22,036/33,054 = 20,928.64/x
  3. Step 3: Cross multiply
    22,036x = 33,054 × 20,928.64
  4. Step 4: Simplify right side
    22,036x = 691,775,266.56
  5. Step 5: Solve for x
    x = 691,775,266.56/22,036
  6. Step 6: Final answer
    x = 31,392.96

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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.