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Finding the Fourth Proportional to 11,611.96, 16,031.15 and 7,644.61

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Solution

The fourth proportional to 11,611.96, 16,031.15 and 7,644.61 is: 10,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.96 : 16,031.15 = 7,644.61 : x
  2. Step 2: Convert to fraction form
    11,611.96/16,031.15 = 7,644.61/x
  3. Step 3: Cross multiply
    11,611.96x = 16,031.15 × 7,644.61
  4. Step 4: Simplify right side
    11,611.96x = 122,551,849.52
  5. Step 5: Solve for x
    x = 122,551,849.52/11,611.96
  6. Step 6: Final answer
    x = 10,553.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.