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Finding the Fourth Proportional to 13,471.08, 20,197.44 and 6,891.90

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Solution

The fourth proportional to 13,471.08, 20,197.44 and 6,891.90 is: 10,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.08 : 20,197.44 = 6,891.90 : x
  2. Step 2: Convert to fraction form
    13,471.08/20,197.44 = 6,891.90/x
  3. Step 3: Cross multiply
    13,471.08x = 20,197.44 × 6,891.90
  4. Step 4: Simplify right side
    13,471.08x = 139,198,736.74
  5. Step 5: Solve for x
    x = 139,198,736.74/13,471.08
  6. Step 6: Final answer
    x = 10,333.15

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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.