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Finding the Fourth Proportional to 11,105.85, 16,658.91 and 6,206.70

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Solution

The fourth proportional to 11,105.85, 16,658.91 and 6,206.70 is: 9,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.85 : 16,658.91 = 6,206.70 : x
  2. Step 2: Convert to fraction form
    11,105.85/16,658.91 = 6,206.70/x
  3. Step 3: Cross multiply
    11,105.85x = 16,658.91 × 6,206.70
  4. Step 4: Simplify right side
    11,105.85x = 103,396,856.70
  5. Step 5: Solve for x
    x = 103,396,856.70/11,105.85
  6. Step 6: Final answer
    x = 9,310.13

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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.