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Finding the Fourth Proportional to 8,422.71, 12,634.10 and 8,219.73

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Solution

The fourth proportional to 8,422.71, 12,634.10 and 8,219.73 is: 12,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.71 : 12,634.10 = 8,219.73 : x
  2. Step 2: Convert to fraction form
    8,422.71/12,634.10 = 8,219.73/x
  3. Step 3: Cross multiply
    8,422.71x = 12,634.10 × 8,219.73
  4. Step 4: Simplify right side
    8,422.71x = 103,848,849.69
  5. Step 5: Solve for x
    x = 103,848,849.69/8,422.71
  6. Step 6: Final answer
    x = 12,329.62

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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.