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Finding the Fourth Proportional to 48,684, 67,183.92 and 28,812

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Solution

The fourth proportional to 48,684, 67,183.92 and 28,812 is: 39,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684 : 67,183.92 = 28,812 : x
  2. Step 2: Convert to fraction form
    48,684/67,183.92 = 28,812/x
  3. Step 3: Cross multiply
    48,684x = 67,183.92 × 28,812
  4. Step 4: Simplify right side
    48,684x = 1,935,703,103.04
  5. Step 5: Solve for x
    x = 1,935,703,103.04/48,684
  6. Step 6: Final answer
    x = 39,760.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.