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Finding the Fourth Proportional to 11,311.52, 16,969.49 and 3,414.68

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Solution

The fourth proportional to 11,311.52, 16,969.49 and 3,414.68 is: 5,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.52 : 16,969.49 = 3,414.68 : x
  2. Step 2: Convert to fraction form
    11,311.52/16,969.49 = 3,414.68/x
  3. Step 3: Cross multiply
    11,311.52x = 16,969.49 × 3,414.68
  4. Step 4: Simplify right side
    11,311.52x = 57,945,386.65
  5. Step 5: Solve for x
    x = 57,945,386.65/11,311.52
  6. Step 6: Final answer
    x = 5,122.69

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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.