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Finding the Fourth Proportional to 8,222.81, 12,334.44 and 2,379.65

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Solution

The fourth proportional to 8,222.81, 12,334.44 and 2,379.65 is: 3,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.81 : 12,334.44 = 2,379.65 : x
  2. Step 2: Convert to fraction form
    8,222.81/12,334.44 = 2,379.65/x
  3. Step 3: Cross multiply
    8,222.81x = 12,334.44 × 2,379.65
  4. Step 4: Simplify right side
    8,222.81x = 29,351,650.15
  5. Step 5: Solve for x
    x = 29,351,650.15/8,222.81
  6. Step 6: Final answer
    x = 3,569.54

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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.