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Finding the Fourth Proportional to 8,043.72, 12,064.50 and 2,200.02

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Solution

The fourth proportional to 8,043.72, 12,064.50 and 2,200.02 is: 3,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.72 : 12,064.50 = 2,200.02 : x
  2. Step 2: Convert to fraction form
    8,043.72/12,064.50 = 2,200.02/x
  3. Step 3: Cross multiply
    8,043.72x = 12,064.50 × 2,200.02
  4. Step 4: Simplify right side
    8,043.72x = 26,542,141.29
  5. Step 5: Solve for x
    x = 26,542,141.29/8,043.72
  6. Step 6: Final answer
    x = 3,299.73

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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.