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Finding the Fourth Proportional to 8,766, 13,155.48 and 4,149

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Solution

The fourth proportional to 8,766, 13,155.48 and 4,149 is: 6,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766 : 13,155.48 = 4,149 : x
  2. Step 2: Convert to fraction form
    8,766/13,155.48 = 4,149/x
  3. Step 3: Cross multiply
    8,766x = 13,155.48 × 4,149
  4. Step 4: Simplify right side
    8,766x = 54,582,086.52
  5. Step 5: Solve for x
    x = 54,582,086.52/8,766
  6. Step 6: Final answer
    x = 6,226.57

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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.