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Finding the Fourth Proportional to 38,469.94, 57,704.31 and 19,739.17

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Solution

The fourth proportional to 38,469.94, 57,704.31 and 19,739.17 is: 29,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.94 : 57,704.31 = 19,739.17 : x
  2. Step 2: Convert to fraction form
    38,469.94/57,704.31 = 19,739.17/x
  3. Step 3: Cross multiply
    38,469.94x = 57,704.31 × 19,739.17
  4. Step 4: Simplify right side
    38,469.94x = 1,139,035,184.82
  5. Step 5: Solve for x
    x = 1,139,035,184.82/38,469.94
  6. Step 6: Final answer
    x = 29,608.45

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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.