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Finding the Fourth Proportional to 8,114.77, 11,198.39 and 4,578.73

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Solution

The fourth proportional to 8,114.77, 11,198.39 and 4,578.73 is: 6,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.77 : 11,198.39 = 4,578.73 : x
  2. Step 2: Convert to fraction form
    8,114.77/11,198.39 = 4,578.73/x
  3. Step 3: Cross multiply
    8,114.77x = 11,198.39 × 4,578.73
  4. Step 4: Simplify right side
    8,114.77x = 51,274,381.35
  5. Step 5: Solve for x
    x = 51,274,381.35/8,114.77
  6. Step 6: Final answer
    x = 6,318.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.