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Finding the Fourth Proportional to 13,502.80, 20,244.60 and 5,179.60

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Solution

The fourth proportional to 13,502.80, 20,244.60 and 5,179.60 is: 7,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.80 : 20,244.60 = 5,179.60 : x
  2. Step 2: Convert to fraction form
    13,502.80/20,244.60 = 5,179.60/x
  3. Step 3: Cross multiply
    13,502.80x = 20,244.60 × 5,179.60
  4. Step 4: Simplify right side
    13,502.80x = 104,858,930.16
  5. Step 5: Solve for x
    x = 104,858,930.16/13,502.80
  6. Step 6: Final answer
    x = 7,765.72

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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.