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Finding the Fourth Proportional to 11,620.94, 17,436.20 and 6,078.24

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Solution

The fourth proportional to 11,620.94, 17,436.20 and 6,078.24 is: 9,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.94 : 17,436.20 = 6,078.24 : x
  2. Step 2: Convert to fraction form
    11,620.94/17,436.20 = 6,078.24/x
  3. Step 3: Cross multiply
    11,620.94x = 17,436.20 × 6,078.24
  4. Step 4: Simplify right side
    11,620.94x = 105,981,377.90
  5. Step 5: Solve for x
    x = 105,981,377.90/11,620.94
  6. Step 6: Final answer
    x = 9,119.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.