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Finding the Fourth Proportional to 18,551.25, 27,808.25 and 9,198.07

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Solution

The fourth proportional to 18,551.25, 27,808.25 and 9,198.07 is: 13,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.25 : 27,808.25 = 9,198.07 : x
  2. Step 2: Convert to fraction form
    18,551.25/27,808.25 = 9,198.07/x
  3. Step 3: Cross multiply
    18,551.25x = 27,808.25 × 9,198.07
  4. Step 4: Simplify right side
    18,551.25x = 255,782,114.57
  5. Step 5: Solve for x
    x = 255,782,114.57/18,551.25
  6. Step 6: Final answer
    x = 13,787.86

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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.