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Finding the Fourth Proportional to 21,902.88, 30,227.28 and 16,589.28

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Solution

The fourth proportional to 21,902.88, 30,227.28 and 16,589.28 is: 22,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.88 : 30,227.28 = 16,589.28 : x
  2. Step 2: Convert to fraction form
    21,902.88/30,227.28 = 16,589.28/x
  3. Step 3: Cross multiply
    21,902.88x = 30,227.28 × 16,589.28
  4. Step 4: Simplify right side
    21,902.88x = 501,448,811.56
  5. Step 5: Solve for x
    x = 501,448,811.56/21,902.88
  6. Step 6: Final answer
    x = 22,894.20

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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.