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Finding the Fourth Proportional to 13,491.06, 20,226.87 and 8,286

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Solution

The fourth proportional to 13,491.06, 20,226.87 and 8,286 is: 12,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.06 : 20,226.87 = 8,286 : x
  2. Step 2: Convert to fraction form
    13,491.06/20,226.87 = 8,286/x
  3. Step 3: Cross multiply
    13,491.06x = 20,226.87 × 8,286
  4. Step 4: Simplify right side
    13,491.06x = 167,599,844.82
  5. Step 5: Solve for x
    x = 167,599,844.82/13,491.06
  6. Step 6: Final answer
    x = 12,423.03

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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.