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Finding the Fourth Proportional to 8,217.66, 12,318.78 and 3,022.32

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Solution

The fourth proportional to 8,217.66, 12,318.78 and 3,022.32 is: 4,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.66 : 12,318.78 = 3,022.32 : x
  2. Step 2: Convert to fraction form
    8,217.66/12,318.78 = 3,022.32/x
  3. Step 3: Cross multiply
    8,217.66x = 12,318.78 × 3,022.32
  4. Step 4: Simplify right side
    8,217.66x = 37,231,295.17
  5. Step 5: Solve for x
    x = 37,231,295.17/8,217.66
  6. Step 6: Final answer
    x = 4,530.64

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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.