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Finding the Fourth Proportional to 9,611.96, 13,179.81 and 8,663.91

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Solution

The fourth proportional to 9,611.96, 13,179.81 and 8,663.91 is: 11,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.96 : 13,179.81 = 8,663.91 : x
  2. Step 2: Convert to fraction form
    9,611.96/13,179.81 = 8,663.91/x
  3. Step 3: Cross multiply
    9,611.96x = 13,179.81 × 8,663.91
  4. Step 4: Simplify right side
    9,611.96x = 114,188,687.66
  5. Step 5: Solve for x
    x = 114,188,687.66/9,611.96
  6. Step 6: Final answer
    x = 11,879.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.