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Finding the Fourth Proportional to 18,922.73, 28,388.41 and 6,442.97

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Solution

The fourth proportional to 18,922.73, 28,388.41 and 6,442.97 is: 9,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.73 : 28,388.41 = 6,442.97 : x
  2. Step 2: Convert to fraction form
    18,922.73/28,388.41 = 6,442.97/x
  3. Step 3: Cross multiply
    18,922.73x = 28,388.41 × 6,442.97
  4. Step 4: Simplify right side
    18,922.73x = 182,905,515.93
  5. Step 5: Solve for x
    x = 182,905,515.93/18,922.73
  6. Step 6: Final answer
    x = 9,665.92

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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.