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Finding the Fourth Proportional to 8,448, 12,673.92 and 2,976

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Solution

The fourth proportional to 8,448, 12,673.92 and 2,976 is: 4,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448 : 12,673.92 = 2,976 : x
  2. Step 2: Convert to fraction form
    8,448/12,673.92 = 2,976/x
  3. Step 3: Cross multiply
    8,448x = 12,673.92 × 2,976
  4. Step 4: Simplify right side
    8,448x = 37,717,585.92
  5. Step 5: Solve for x
    x = 37,717,585.92/8,448
  6. Step 6: Final answer
    x = 4,464.68

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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.