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Finding the Fourth Proportional to 8,942.38, 13,467.11 and 8,144.32

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Solution

The fourth proportional to 8,942.38, 13,467.11 and 8,144.32 is: 12,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.38 : 13,467.11 = 8,144.32 : x
  2. Step 2: Convert to fraction form
    8,942.38/13,467.11 = 8,144.32/x
  3. Step 3: Cross multiply
    8,942.38x = 13,467.11 × 8,144.32
  4. Step 4: Simplify right side
    8,942.38x = 109,680,453.32
  5. Step 5: Solve for x
    x = 109,680,453.32/8,942.38
  6. Step 6: Final answer
    x = 12,265.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.