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Finding the Fourth Proportional to 18,629.60, 27,976.80 and 13,121.60

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Solution

The fourth proportional to 18,629.60, 27,976.80 and 13,121.60 is: 19,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,629.60 : 27,976.80 = 13,121.60 : x
  2. Step 2: Convert to fraction form
    18,629.60/27,976.80 = 13,121.60/x
  3. Step 3: Cross multiply
    18,629.60x = 27,976.80 × 13,121.60
  4. Step 4: Simplify right side
    18,629.60x = 367,100,378.88
  5. Step 5: Solve for x
    x = 367,100,378.88/18,629.60
  6. Step 6: Final answer
    x = 19,705.22

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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.