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Finding the Fourth Proportional to 14,572.82, 20,105.45 and 8,198.39

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Solution

The fourth proportional to 14,572.82, 20,105.45 and 8,198.39 is: 11,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.82 : 20,105.45 = 8,198.39 : x
  2. Step 2: Convert to fraction form
    14,572.82/20,105.45 = 8,198.39/x
  3. Step 3: Cross multiply
    14,572.82x = 20,105.45 × 8,198.39
  4. Step 4: Simplify right side
    14,572.82x = 164,832,390.99
  5. Step 5: Solve for x
    x = 164,832,390.99/14,572.82
  6. Step 6: Final answer
    x = 11,310.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.