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Finding the Fourth Proportional to 8,114.88, 12,168.96 and 3,183.84

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Solution

The fourth proportional to 8,114.88, 12,168.96 and 3,183.84 is: 4,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.88 : 12,168.96 = 3,183.84 : x
  2. Step 2: Convert to fraction form
    8,114.88/12,168.96 = 3,183.84/x
  3. Step 3: Cross multiply
    8,114.88x = 12,168.96 × 3,183.84
  4. Step 4: Simplify right side
    8,114.88x = 38,744,021.61
  5. Step 5: Solve for x
    x = 38,744,021.61/8,114.88
  6. Step 6: Final answer
    x = 4,774.44

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1.5x scale

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.