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Finding the Fourth Proportional to 8,247.16, 12,372.90 and 4,087

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Solution

The fourth proportional to 8,247.16, 12,372.90 and 4,087 is: 6,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.16 : 12,372.90 = 4,087 : x
  2. Step 2: Convert to fraction form
    8,247.16/12,372.90 = 4,087/x
  3. Step 3: Cross multiply
    8,247.16x = 12,372.90 × 4,087
  4. Step 4: Simplify right side
    8,247.16x = 50,568,042.30
  5. Step 5: Solve for x
    x = 50,568,042.30/8,247.16
  6. Step 6: Final answer
    x = 6,131.57

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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.