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Finding the Fourth Proportional to 8,218.54, 12,328.49 and 2,671.76

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Solution

The fourth proportional to 8,218.54, 12,328.49 and 2,671.76 is: 4,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.54 : 12,328.49 = 2,671.76 : x
  2. Step 2: Convert to fraction form
    8,218.54/12,328.49 = 2,671.76/x
  3. Step 3: Cross multiply
    8,218.54x = 12,328.49 × 2,671.76
  4. Step 4: Simplify right side
    8,218.54x = 32,938,691.44
  5. Step 5: Solve for x
    x = 32,938,691.44/8,218.54
  6. Step 6: Final answer
    x = 4,007.85

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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.