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Finding the Fourth Proportional to 38,481.44, 57,730.82 and 13,523.22

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Solution

The fourth proportional to 38,481.44, 57,730.82 and 13,523.22 is: 20,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.44 : 57,730.82 = 13,523.22 : x
  2. Step 2: Convert to fraction form
    38,481.44/57,730.82 = 13,523.22/x
  3. Step 3: Cross multiply
    38,481.44x = 57,730.82 × 13,523.22
  4. Step 4: Simplify right side
    38,481.44x = 780,706,579.64
  5. Step 5: Solve for x
    x = 780,706,579.64/38,481.44
  6. Step 6: Final answer
    x = 20,287.87

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1.5x scale

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.