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Finding the Fourth Proportional to 8,138.86, 12,208.81 and 3,143.62

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Solution

The fourth proportional to 8,138.86, 12,208.81 and 3,143.62 is: 4,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.86 : 12,208.81 = 3,143.62 : x
  2. Step 2: Convert to fraction form
    8,138.86/12,208.81 = 3,143.62/x
  3. Step 3: Cross multiply
    8,138.86x = 12,208.81 × 3,143.62
  4. Step 4: Simplify right side
    8,138.86x = 38,379,820.91
  5. Step 5: Solve for x
    x = 38,379,820.91/8,138.86
  6. Step 6: Final answer
    x = 4,715.63

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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.