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Finding the Fourth Proportional to 21,611.88, 32,374.44 and 9,909

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Solution

The fourth proportional to 21,611.88, 32,374.44 and 9,909 is: 14,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.88 : 32,374.44 = 9,909 : x
  2. Step 2: Convert to fraction form
    21,611.88/32,374.44 = 9,909/x
  3. Step 3: Cross multiply
    21,611.88x = 32,374.44 × 9,909
  4. Step 4: Simplify right side
    21,611.88x = 320,798,325.96
  5. Step 5: Solve for x
    x = 320,798,325.96/21,611.88
  6. Step 6: Final answer
    x = 14,843.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.