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Finding the Fourth Proportional to 13,806.46, 20,712.94 and 3,945.48

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Solution

The fourth proportional to 13,806.46, 20,712.94 and 3,945.48 is: 5,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.46 : 20,712.94 = 3,945.48 : x
  2. Step 2: Convert to fraction form
    13,806.46/20,712.94 = 3,945.48/x
  3. Step 3: Cross multiply
    13,806.46x = 20,712.94 × 3,945.48
  4. Step 4: Simplify right side
    13,806.46x = 81,722,588.84
  5. Step 5: Solve for x
    x = 81,722,588.84/13,806.46
  6. Step 6: Final answer
    x = 5,919.15

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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.