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Finding the Fourth Proportional to 18,709.25, 27,978.62 and 13,968.73

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Solution

The fourth proportional to 18,709.25, 27,978.62 and 13,968.73 is: 20,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,709.25 : 27,978.62 = 13,968.73 : x
  2. Step 2: Convert to fraction form
    18,709.25/27,978.62 = 13,968.73/x
  3. Step 3: Cross multiply
    18,709.25x = 27,978.62 × 13,968.73
  4. Step 4: Simplify right side
    18,709.25x = 390,825,753.53
  5. Step 5: Solve for x
    x = 390,825,753.53/18,709.25
  6. Step 6: Final answer
    x = 20,889.44

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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.