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Finding the Fourth Proportional to 38,474.40, 57,760.20 and 20,719.20

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Solution

The fourth proportional to 38,474.40, 57,760.20 and 20,719.20 is: 31,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.40 : 57,760.20 = 20,719.20 : x
  2. Step 2: Convert to fraction form
    38,474.40/57,760.20 = 20,719.20/x
  3. Step 3: Cross multiply
    38,474.40x = 57,760.20 × 20,719.20
  4. Step 4: Simplify right side
    38,474.40x = 1,196,745,135.84
  5. Step 5: Solve for x
    x = 1,196,745,135.84/38,474.40
  6. Step 6: Final answer
    x = 31,104.97

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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.