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Finding the Fourth Proportional to 12,843.44, 17,717.38 and 8,374.68

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Solution

The fourth proportional to 12,843.44, 17,717.38 and 8,374.68 is: 11,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.44 : 17,717.38 = 8,374.68 : x
  2. Step 2: Convert to fraction form
    12,843.44/17,717.38 = 8,374.68/x
  3. Step 3: Cross multiply
    12,843.44x = 17,717.38 × 8,374.68
  4. Step 4: Simplify right side
    12,843.44x = 148,377,387.94
  5. Step 5: Solve for x
    x = 148,377,387.94/12,843.44
  6. Step 6: Final answer
    x = 11,552.78

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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.