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Finding the Fourth Proportional to 13,806.36, 20,709.54 and 5,041.22

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Solution

The fourth proportional to 13,806.36, 20,709.54 and 5,041.22 is: 7,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.36 : 20,709.54 = 5,041.22 : x
  2. Step 2: Convert to fraction form
    13,806.36/20,709.54 = 5,041.22/x
  3. Step 3: Cross multiply
    13,806.36x = 20,709.54 × 5,041.22
  4. Step 4: Simplify right side
    13,806.36x = 104,401,243.69
  5. Step 5: Solve for x
    x = 104,401,243.69/13,806.36
  6. Step 6: Final answer
    x = 7,561.82

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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.