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Finding the Fourth Proportional to 38,534.80, 57,748.20 and 30,650.80

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Solution

The fourth proportional to 38,534.80, 57,748.20 and 30,650.80 is: 45,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.80 : 57,748.20 = 30,650.80 : x
  2. Step 2: Convert to fraction form
    38,534.80/57,748.20 = 30,650.80/x
  3. Step 3: Cross multiply
    38,534.80x = 57,748.20 × 30,650.80
  4. Step 4: Simplify right side
    38,534.80x = 1,770,028,528.56
  5. Step 5: Solve for x
    x = 1,770,028,528.56/38,534.80
  6. Step 6: Final answer
    x = 45,933.25

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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.