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Finding the Fourth Proportional to 19,766.34, 27,268.13 and 12,209.95

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Solution

The fourth proportional to 19,766.34, 27,268.13 and 12,209.95 is: 16,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.34 : 27,268.13 = 12,209.95 : x
  2. Step 2: Convert to fraction form
    19,766.34/27,268.13 = 12,209.95/x
  3. Step 3: Cross multiply
    19,766.34x = 27,268.13 × 12,209.95
  4. Step 4: Simplify right side
    19,766.34x = 332,942,499.82
  5. Step 5: Solve for x
    x = 332,942,499.82/19,766.34
  6. Step 6: Final answer
    x = 16,843.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.