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Finding the Fourth Proportional to 12,843.88, 17,724.20 and 7,178.66

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Solution

The fourth proportional to 12,843.88, 17,724.20 and 7,178.66 is: 9,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.88 : 17,724.20 = 7,178.66 : x
  2. Step 2: Convert to fraction form
    12,843.88/17,724.20 = 7,178.66/x
  3. Step 3: Cross multiply
    12,843.88x = 17,724.20 × 7,178.66
  4. Step 4: Simplify right side
    12,843.88x = 127,236,005.57
  5. Step 5: Solve for x
    x = 127,236,005.57/12,843.88
  6. Step 6: Final answer
    x = 9,906.35

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1.5x scale

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.