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Finding the Fourth Proportional to 8,213.94, 12,325.05 and 3,285

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Solution

The fourth proportional to 8,213.94, 12,325.05 and 3,285 is: 4,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.94 : 12,325.05 = 3,285 : x
  2. Step 2: Convert to fraction form
    8,213.94/12,325.05 = 3,285/x
  3. Step 3: Cross multiply
    8,213.94x = 12,325.05 × 3,285
  4. Step 4: Simplify right side
    8,213.94x = 40,487,789.25
  5. Step 5: Solve for x
    x = 40,487,789.25/8,213.94
  6. Step 6: Final answer
    x = 4,929.16

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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.