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Finding the Fourth Proportional to 11,198.46, 16,800.51 and 4,178.70

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Solution

The fourth proportional to 11,198.46, 16,800.51 and 4,178.70 is: 6,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.46 : 16,800.51 = 4,178.70 : x
  2. Step 2: Convert to fraction form
    11,198.46/16,800.51 = 4,178.70/x
  3. Step 3: Cross multiply
    11,198.46x = 16,800.51 × 4,178.70
  4. Step 4: Simplify right side
    11,198.46x = 70,204,291.14
  5. Step 5: Solve for x
    x = 70,204,291.14/11,198.46
  6. Step 6: Final answer
    x = 6,269.10

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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.