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Finding the Fourth Proportional to 8,390.43, 12,594.38 and 8,202.17

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Solution

The fourth proportional to 8,390.43, 12,594.38 and 8,202.17 is: 12,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.43 : 12,594.38 = 8,202.17 : x
  2. Step 2: Convert to fraction form
    8,390.43/12,594.38 = 8,202.17/x
  3. Step 3: Cross multiply
    8,390.43x = 12,594.38 × 8,202.17
  4. Step 4: Simplify right side
    8,390.43x = 103,301,245.80
  5. Step 5: Solve for x
    x = 103,301,245.80/8,390.43
  6. Step 6: Final answer
    x = 12,311.79

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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.