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Finding the Fourth Proportional to 12,864, 17,752.32 and 6,976

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Solution

The fourth proportional to 12,864, 17,752.32 and 6,976 is: 9,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864 : 17,752.32 = 6,976 : x
  2. Step 2: Convert to fraction form
    12,864/17,752.32 = 6,976/x
  3. Step 3: Cross multiply
    12,864x = 17,752.32 × 6,976
  4. Step 4: Simplify right side
    12,864x = 123,840,184.32
  5. Step 5: Solve for x
    x = 123,840,184.32/12,864
  6. Step 6: Final answer
    x = 9,626.88

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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.