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Finding the Fourth Proportional to 8,225.24, 12,342.87 and 3,843

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Solution

The fourth proportional to 8,225.24, 12,342.87 and 3,843 is: 5,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.24 : 12,342.87 = 3,843 : x
  2. Step 2: Convert to fraction form
    8,225.24/12,342.87 = 3,843/x
  3. Step 3: Cross multiply
    8,225.24x = 12,342.87 × 3,843
  4. Step 4: Simplify right side
    8,225.24x = 47,433,649.41
  5. Step 5: Solve for x
    x = 47,433,649.41/8,225.24
  6. Step 6: Final answer
    x = 5,766.84

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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.