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Finding the Fourth Proportional to 8,151.59, 12,226.24 and 2,605.42

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Solution

The fourth proportional to 8,151.59, 12,226.24 and 2,605.42 is: 3,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.59 : 12,226.24 = 2,605.42 : x
  2. Step 2: Convert to fraction form
    8,151.59/12,226.24 = 2,605.42/x
  3. Step 3: Cross multiply
    8,151.59x = 12,226.24 × 2,605.42
  4. Step 4: Simplify right side
    8,151.59x = 31,854,439.99
  5. Step 5: Solve for x
    x = 31,854,439.99/8,151.59
  6. Step 6: Final answer
    x = 3,907.76

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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.