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Finding the Fourth Proportional to 8,367.56, 12,543.18 and 3,983.84

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Solution

The fourth proportional to 8,367.56, 12,543.18 and 3,983.84 is: 5,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.56 : 12,543.18 = 3,983.84 : x
  2. Step 2: Convert to fraction form
    8,367.56/12,543.18 = 3,983.84/x
  3. Step 3: Cross multiply
    8,367.56x = 12,543.18 × 3,983.84
  4. Step 4: Simplify right side
    8,367.56x = 49,970,022.21
  5. Step 5: Solve for x
    x = 49,970,022.21/8,367.56
  6. Step 6: Final answer
    x = 5,971.87

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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.