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Finding the Fourth Proportional to 12,796.80, 17,640 and 8,320

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Solution

The fourth proportional to 12,796.80, 17,640 and 8,320 is: 11,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.80 : 17,640 = 8,320 : x
  2. Step 2: Convert to fraction form
    12,796.80/17,640 = 8,320/x
  3. Step 3: Cross multiply
    12,796.80x = 17,640 × 8,320
  4. Step 4: Simplify right side
    12,796.80x = 146,764,800
  5. Step 5: Solve for x
    x = 146,764,800/12,796.80
  6. Step 6: Final answer
    x = 11,468.87

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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.