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Finding the Fourth Proportional to 13,806, 20,723.04 and 10,365.12

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Solution

The fourth proportional to 13,806, 20,723.04 and 10,365.12 is: 15,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 20,723.04 = 10,365.12 : x
  2. Step 2: Convert to fraction form
    13,806/20,723.04 = 10,365.12/x
  3. Step 3: Cross multiply
    13,806x = 20,723.04 × 10,365.12
  4. Step 4: Simplify right side
    13,806x = 214,796,796.36
  5. Step 5: Solve for x
    x = 214,796,796.36/13,806
  6. Step 6: Final answer
    x = 15,558.22

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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.