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Finding the Fourth Proportional to 21,843.25, 32,764.88 and 5,427.25

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Solution

The fourth proportional to 21,843.25, 32,764.88 and 5,427.25 is: 8,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.25 : 32,764.88 = 5,427.25 : x
  2. Step 2: Convert to fraction form
    21,843.25/32,764.88 = 5,427.25/x
  3. Step 3: Cross multiply
    21,843.25x = 32,764.88 × 5,427.25
  4. Step 4: Simplify right side
    21,843.25x = 177,823,194.98
  5. Step 5: Solve for x
    x = 177,823,194.98/21,843.25
  6. Step 6: Final answer
    x = 8,140.88

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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.