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Finding the Fourth Proportional to 13,616.82, 20,431.02 and 7,694.52

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Solution

The fourth proportional to 13,616.82, 20,431.02 and 7,694.52 is: 11,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.82 : 20,431.02 = 7,694.52 : x
  2. Step 2: Convert to fraction form
    13,616.82/20,431.02 = 7,694.52/x
  3. Step 3: Cross multiply
    13,616.82x = 20,431.02 × 7,694.52
  4. Step 4: Simplify right side
    13,616.82x = 157,206,892.01
  5. Step 5: Solve for x
    x = 157,206,892.01/13,616.82
  6. Step 6: Final answer
    x = 11,545.05

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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.