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Finding the Fourth Proportional to 13,869.80, 20,812.80 and 5,105.60

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Solution

The fourth proportional to 13,869.80, 20,812.80 and 5,105.60 is: 7,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.80 : 20,812.80 = 5,105.60 : x
  2. Step 2: Convert to fraction form
    13,869.80/20,812.80 = 5,105.60/x
  3. Step 3: Cross multiply
    13,869.80x = 20,812.80 × 5,105.60
  4. Step 4: Simplify right side
    13,869.80x = 106,261,831.68
  5. Step 5: Solve for x
    x = 106,261,831.68/13,869.80
  6. Step 6: Final answer
    x = 7,661.38

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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.