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Finding the Fourth Proportional to 12,843.56, 17,723.92 and 7,178.44

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Solution

The fourth proportional to 12,843.56, 17,723.92 and 7,178.44 is: 9,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.56 : 17,723.92 = 7,178.44 : x
  2. Step 2: Convert to fraction form
    12,843.56/17,723.92 = 7,178.44/x
  3. Step 3: Cross multiply
    12,843.56x = 17,723.92 × 7,178.44
  4. Step 4: Simplify right side
    12,843.56x = 127,230,096.28
  5. Step 5: Solve for x
    x = 127,230,096.28/12,843.56
  6. Step 6: Final answer
    x = 9,906.14

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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.