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Finding the Fourth Proportional to 13,482, 20,226.99 and 6,912.80

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Solution

The fourth proportional to 13,482, 20,226.99 and 6,912.80 is: 10,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482 : 20,226.99 = 6,912.80 : x
  2. Step 2: Convert to fraction form
    13,482/20,226.99 = 6,912.80/x
  3. Step 3: Cross multiply
    13,482x = 20,226.99 × 6,912.80
  4. Step 4: Simplify right side
    13,482x = 139,825,035.34
  5. Step 5: Solve for x
    x = 139,825,035.34/13,482
  6. Step 6: Final answer
    x = 10,371.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.