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Finding the Fourth Proportional to 13,922.72, 20,877.52 and 8,080.96

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Solution

The fourth proportional to 13,922.72, 20,877.52 and 8,080.96 is: 12,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.72 : 20,877.52 = 8,080.96 : x
  2. Step 2: Convert to fraction form
    13,922.72/20,877.52 = 8,080.96/x
  3. Step 3: Cross multiply
    13,922.72x = 20,877.52 × 8,080.96
  4. Step 4: Simplify right side
    13,922.72x = 168,710,404.02
  5. Step 5: Solve for x
    x = 168,710,404.02/13,922.72
  6. Step 6: Final answer
    x = 12,117.63

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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.