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Finding the Fourth Proportional to 8,664.64, 12,993.96 and 2,819.84

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Solution

The fourth proportional to 8,664.64, 12,993.96 and 2,819.84 is: 4,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.64 : 12,993.96 = 2,819.84 : x
  2. Step 2: Convert to fraction form
    8,664.64/12,993.96 = 2,819.84/x
  3. Step 3: Cross multiply
    8,664.64x = 12,993.96 × 2,819.84
  4. Step 4: Simplify right side
    8,664.64x = 36,640,888.17
  5. Step 5: Solve for x
    x = 36,640,888.17/8,664.64
  6. Step 6: Final answer
    x = 4,228.78

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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.