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Finding the Fourth Proportional to 11,198.45, 16,800.11 and 3,407.06

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Solution

The fourth proportional to 11,198.45, 16,800.11 and 3,407.06 is: 5,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.45 : 16,800.11 = 3,407.06 : x
  2. Step 2: Convert to fraction form
    11,198.45/16,800.11 = 3,407.06/x
  3. Step 3: Cross multiply
    11,198.45x = 16,800.11 × 3,407.06
  4. Step 4: Simplify right side
    11,198.45x = 57,239,020.52
  5. Step 5: Solve for x
    x = 57,239,020.52/11,198.45
  6. Step 6: Final answer
    x = 5,111.33

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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.