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Finding the Fourth Proportional to 12,856, 17,755.86 and 8,656.96

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Solution

The fourth proportional to 12,856, 17,755.86 and 8,656.96 is: 11,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856 : 17,755.86 = 8,656.96 : x
  2. Step 2: Convert to fraction form
    12,856/17,755.86 = 8,656.96/x
  3. Step 3: Cross multiply
    12,856x = 17,755.86 × 8,656.96
  4. Step 4: Simplify right side
    12,856x = 153,711,769.79
  5. Step 5: Solve for x
    x = 153,711,769.79/12,856
  6. Step 6: Final answer
    x = 11,956.42

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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.