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Finding the Fourth Proportional to 13,651.92, 20,503.80 and 11,682

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Solution

The fourth proportional to 13,651.92, 20,503.80 and 11,682 is: 17,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.92 : 20,503.80 = 11,682 : x
  2. Step 2: Convert to fraction form
    13,651.92/20,503.80 = 11,682/x
  3. Step 3: Cross multiply
    13,651.92x = 20,503.80 × 11,682
  4. Step 4: Simplify right side
    13,651.92x = 239,525,391.60
  5. Step 5: Solve for x
    x = 239,525,391.60/13,651.92
  6. Step 6: Final answer
    x = 17,545.18

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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.