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Finding the Fourth Proportional to 11,031.12, 16,531.92 and 9,193.92

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Solution

The fourth proportional to 11,031.12, 16,531.92 and 9,193.92 is: 13,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.12 : 16,531.92 = 9,193.92 : x
  2. Step 2: Convert to fraction form
    11,031.12/16,531.92 = 9,193.92/x
  3. Step 3: Cross multiply
    11,031.12x = 16,531.92 × 9,193.92
  4. Step 4: Simplify right side
    11,031.12x = 151,993,149.93
  5. Step 5: Solve for x
    x = 151,993,149.93/11,031.12
  6. Step 6: Final answer
    x = 13,778.58

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