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Finding the Fourth Proportional to 21,900, 30,222 and 13,523.52

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Solution

The fourth proportional to 21,900, 30,222 and 13,523.52 is: 18,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900 : 30,222 = 13,523.52 : x
  2. Step 2: Convert to fraction form
    21,900/30,222 = 13,523.52/x
  3. Step 3: Cross multiply
    21,900x = 30,222 × 13,523.52
  4. Step 4: Simplify right side
    21,900x = 408,707,821.44
  5. Step 5: Solve for x
    x = 408,707,821.44/21,900
  6. Step 6: Final answer
    x = 18,662.46

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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.