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Finding the Fourth Proportional to 8,234.69, 12,349.81 and 2,311.23

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Solution

The fourth proportional to 8,234.69, 12,349.81 and 2,311.23 is: 3,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.69 : 12,349.81 = 2,311.23 : x
  2. Step 2: Convert to fraction form
    8,234.69/12,349.81 = 2,311.23/x
  3. Step 3: Cross multiply
    8,234.69x = 12,349.81 × 2,311.23
  4. Step 4: Simplify right side
    8,234.69x = 28,543,251.37
  5. Step 5: Solve for x
    x = 28,543,251.37/8,234.69
  6. Step 6: Final answer
    x = 3,466.22

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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.