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Finding the Fourth Proportional to 8,216.64, 12,321.72 and 4,318.56

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Solution

The fourth proportional to 8,216.64, 12,321.72 and 4,318.56 is: 6,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.64 : 12,321.72 = 4,318.56 : x
  2. Step 2: Convert to fraction form
    8,216.64/12,321.72 = 4,318.56/x
  3. Step 3: Cross multiply
    8,216.64x = 12,321.72 × 4,318.56
  4. Step 4: Simplify right side
    8,216.64x = 53,212,087.12
  5. Step 5: Solve for x
    x = 53,212,087.12/8,216.64
  6. Step 6: Final answer
    x = 6,476.14

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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.