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Finding the Fourth Proportional to 8,212.57, 12,328.07 and 3,285.65

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Solution

The fourth proportional to 8,212.57, 12,328.07 and 3,285.65 is: 4,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.57 : 12,328.07 = 3,285.65 : x
  2. Step 2: Convert to fraction form
    8,212.57/12,328.07 = 3,285.65/x
  3. Step 3: Cross multiply
    8,212.57x = 12,328.07 × 3,285.65
  4. Step 4: Simplify right side
    8,212.57x = 40,505,645.13
  5. Step 5: Solve for x
    x = 40,505,645.13/8,212.57
  6. Step 6: Final answer
    x = 4,932.15

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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.