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Finding the Fourth Proportional to 8,198.64, 11,314.11 and 4,472.64

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Solution

The fourth proportional to 8,198.64, 11,314.11 and 4,472.64 is: 6,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.64 : 11,314.11 = 4,472.64 : x
  2. Step 2: Convert to fraction form
    8,198.64/11,314.11 = 4,472.64/x
  3. Step 3: Cross multiply
    8,198.64x = 11,314.11 × 4,472.64
  4. Step 4: Simplify right side
    8,198.64x = 50,603,940.95
  5. Step 5: Solve for x
    x = 50,603,940.95/8,198.64
  6. Step 6: Final answer
    x = 6,172.24

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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.