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Finding the Fourth Proportional to 13,806.45, 20,706.20 and 3,945.78

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Solution

The fourth proportional to 13,806.45, 20,706.20 and 3,945.78 is: 5,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.45 : 20,706.20 = 3,945.78 : x
  2. Step 2: Convert to fraction form
    13,806.45/20,706.20 = 3,945.78/x
  3. Step 3: Cross multiply
    13,806.45x = 20,706.20 × 3,945.78
  4. Step 4: Simplify right side
    13,806.45x = 81,702,109.84
  5. Step 5: Solve for x
    x = 81,702,109.84/13,806.45
  6. Step 6: Final answer
    x = 5,917.68

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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.