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Finding the Fourth Proportional to 8,366.72, 12,551.22 and 2,821.64

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Solution

The fourth proportional to 8,366.72, 12,551.22 and 2,821.64 is: 4,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.72 : 12,551.22 = 2,821.64 : x
  2. Step 2: Convert to fraction form
    8,366.72/12,551.22 = 2,821.64/x
  3. Step 3: Cross multiply
    8,366.72x = 12,551.22 × 2,821.64
  4. Step 4: Simplify right side
    8,366.72x = 35,414,961.64
  5. Step 5: Solve for x
    x = 35,414,961.64/8,366.72
  6. Step 6: Final answer
    x = 4,232.84

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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.