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Finding the Fourth Proportional to 12,857, 17,757.24 and 8,657.96

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Solution

The fourth proportional to 12,857, 17,757.24 and 8,657.96 is: 11,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857 : 17,757.24 = 8,657.96 : x
  2. Step 2: Convert to fraction form
    12,857/17,757.24 = 8,657.96/x
  3. Step 3: Cross multiply
    12,857x = 17,757.24 × 8,657.96
  4. Step 4: Simplify right side
    12,857x = 153,741,473.63
  5. Step 5: Solve for x
    x = 153,741,473.63/12,857
  6. Step 6: Final answer
    x = 11,957.80

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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.