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Finding the Fourth Proportional to 38,469.80, 57,704.70 and 31,989.80

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Solution

The fourth proportional to 38,469.80, 57,704.70 and 31,989.80 is: 47,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.80 : 57,704.70 = 31,989.80 : x
  2. Step 2: Convert to fraction form
    38,469.80/57,704.70 = 31,989.80/x
  3. Step 3: Cross multiply
    38,469.80x = 57,704.70 × 31,989.80
  4. Step 4: Simplify right side
    38,469.80x = 1,845,961,812.06
  5. Step 5: Solve for x
    x = 1,845,961,812.06/38,469.80
  6. Step 6: Final answer
    x = 47,984.70

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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.