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Finding the Fourth Proportional to 18,489.60, 27,734.40 and 6,801.30

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Solution

The fourth proportional to 18,489.60, 27,734.40 and 6,801.30 is: 10,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.60 : 27,734.40 = 6,801.30 : x
  2. Step 2: Convert to fraction form
    18,489.60/27,734.40 = 6,801.30/x
  3. Step 3: Cross multiply
    18,489.60x = 27,734.40 × 6,801.30
  4. Step 4: Simplify right side
    18,489.60x = 188,629,974.72
  5. Step 5: Solve for x
    x = 188,629,974.72/18,489.60
  6. Step 6: Final answer
    x = 10,201.95

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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.