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Finding the Fourth Proportional to 8,568.81, 12,855.11 and 3,642.66

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Solution

The fourth proportional to 8,568.81, 12,855.11 and 3,642.66 is: 5,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.81 : 12,855.11 = 3,642.66 : x
  2. Step 2: Convert to fraction form
    8,568.81/12,855.11 = 3,642.66/x
  3. Step 3: Cross multiply
    8,568.81x = 12,855.11 × 3,642.66
  4. Step 4: Simplify right side
    8,568.81x = 46,826,794.99
  5. Step 5: Solve for x
    x = 46,826,794.99/8,568.81
  6. Step 6: Final answer
    x = 5,464.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.