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Finding the Fourth Proportional to 8,117.82, 12,183.89 and 4,171.82

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Solution

The fourth proportional to 8,117.82, 12,183.89 and 4,171.82 is: 6,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.82 : 12,183.89 = 4,171.82 : x
  2. Step 2: Convert to fraction form
    8,117.82/12,183.89 = 4,171.82/x
  3. Step 3: Cross multiply
    8,117.82x = 12,183.89 × 4,171.82
  4. Step 4: Simplify right side
    8,117.82x = 50,828,914.20
  5. Step 5: Solve for x
    x = 50,828,914.20/8,117.82
  6. Step 6: Final answer
    x = 6,261.40

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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.