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Finding the Fourth Proportional to 18,205.60, 27,301.20 and 6,512.80

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Solution

The fourth proportional to 18,205.60, 27,301.20 and 6,512.80 is: 9,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.60 : 27,301.20 = 6,512.80 : x
  2. Step 2: Convert to fraction form
    18,205.60/27,301.20 = 6,512.80/x
  3. Step 3: Cross multiply
    18,205.60x = 27,301.20 × 6,512.80
  4. Step 4: Simplify right side
    18,205.60x = 177,807,255.36
  5. Step 5: Solve for x
    x = 177,807,255.36/18,205.60
  6. Step 6: Final answer
    x = 9,766.62

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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.