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Finding the Fourth Proportional to 8,478.45, 12,709.94 and 3,280.41

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Solution

The fourth proportional to 8,478.45, 12,709.94 and 3,280.41 is: 4,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.45 : 12,709.94 = 3,280.41 : x
  2. Step 2: Convert to fraction form
    8,478.45/12,709.94 = 3,280.41/x
  3. Step 3: Cross multiply
    8,478.45x = 12,709.94 × 3,280.41
  4. Step 4: Simplify right side
    8,478.45x = 41,693,797.87
  5. Step 5: Solve for x
    x = 41,693,797.87/8,478.45
  6. Step 6: Final answer
    x = 4,917.62

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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.