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Finding the Fourth Proportional to 13,806, 20,700.36 and 9,120.24

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Solution

The fourth proportional to 13,806, 20,700.36 and 9,120.24 is: 13,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 20,700.36 = 9,120.24 : x
  2. Step 2: Convert to fraction form
    13,806/20,700.36 = 9,120.24/x
  3. Step 3: Cross multiply
    13,806x = 20,700.36 × 9,120.24
  4. Step 4: Simplify right side
    13,806x = 188,792,251.29
  5. Step 5: Solve for x
    x = 188,792,251.29/13,806
  6. Step 6: Final answer
    x = 13,674.65

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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.