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Finding the Fourth Proportional to 8,212.12, 12,318.24 and 3,283

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Solution

The fourth proportional to 8,212.12, 12,318.24 and 3,283 is: 4,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.12 : 12,318.24 = 3,283 : x
  2. Step 2: Convert to fraction form
    8,212.12/12,318.24 = 3,283/x
  3. Step 3: Cross multiply
    8,212.12x = 12,318.24 × 3,283
  4. Step 4: Simplify right side
    8,212.12x = 40,440,781.92
  5. Step 5: Solve for x
    x = 40,440,781.92/8,212.12
  6. Step 6: Final answer
    x = 4,924.52

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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.