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Finding the Fourth Proportional to 13,806.99, 20,722.91 and 9,353.88

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Solution

The fourth proportional to 13,806.99, 20,722.91 and 9,353.88 is: 14,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.99 : 20,722.91 = 9,353.88 : x
  2. Step 2: Convert to fraction form
    13,806.99/20,722.91 = 9,353.88/x
  3. Step 3: Cross multiply
    13,806.99x = 20,722.91 × 9,353.88
  4. Step 4: Simplify right side
    13,806.99x = 193,839,566.62
  5. Step 5: Solve for x
    x = 193,839,566.62/13,806.99
  6. Step 6: Final answer
    x = 14,039.23

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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.