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Finding the Fourth Proportional to 8,311.61, 12,379.85 and 8,138.57

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Solution

The fourth proportional to 8,311.61, 12,379.85 and 8,138.57 is: 12,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.61 : 12,379.85 = 8,138.57 : x
  2. Step 2: Convert to fraction form
    8,311.61/12,379.85 = 8,138.57/x
  3. Step 3: Cross multiply
    8,311.61x = 12,379.85 × 8,138.57
  4. Step 4: Simplify right side
    8,311.61x = 100,754,173.22
  5. Step 5: Solve for x
    x = 100,754,173.22/8,311.61
  6. Step 6: Final answer
    x = 12,122.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.