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Finding the Fourth Proportional to 12,231.57, 16,886.57 and 8,051.97

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Solution

The fourth proportional to 12,231.57, 16,886.57 and 8,051.97 is: 11,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.57 : 16,886.57 = 8,051.97 : x
  2. Step 2: Convert to fraction form
    12,231.57/16,886.57 = 8,051.97/x
  3. Step 3: Cross multiply
    12,231.57x = 16,886.57 × 8,051.97
  4. Step 4: Simplify right side
    12,231.57x = 135,970,114.78
  5. Step 5: Solve for x
    x = 135,970,114.78/12,231.57
  6. Step 6: Final answer
    x = 11,116.33

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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.