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Finding the Fourth Proportional to 8,411.73, 12,619.08 and 3,478.61

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Solution

The fourth proportional to 8,411.73, 12,619.08 and 3,478.61 is: 5,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.73 : 12,619.08 = 3,478.61 : x
  2. Step 2: Convert to fraction form
    8,411.73/12,619.08 = 3,478.61/x
  3. Step 3: Cross multiply
    8,411.73x = 12,619.08 × 3,478.61
  4. Step 4: Simplify right side
    8,411.73x = 43,896,857.88
  5. Step 5: Solve for x
    x = 43,896,857.88/8,411.73
  6. Step 6: Final answer
    x = 5,218.53

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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.