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Finding the Fourth Proportional to 21,727, 32,538.24 and 18,589

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Solution

The fourth proportional to 21,727, 32,538.24 and 18,589 is: 27,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727 : 32,538.24 = 18,589 : x
  2. Step 2: Convert to fraction form
    21,727/32,538.24 = 18,589/x
  3. Step 3: Cross multiply
    21,727x = 32,538.24 × 18,589
  4. Step 4: Simplify right side
    21,727x = 604,853,343.36
  5. Step 5: Solve for x
    x = 604,853,343.36/21,727
  6. Step 6: Final answer
    x = 27,838.79

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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.