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Finding the Fourth Proportional to 8,208.64, 12,310.02 and 3,276.88

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Solution

The fourth proportional to 8,208.64, 12,310.02 and 3,276.88 is: 4,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.64 : 12,310.02 = 3,276.88 : x
  2. Step 2: Convert to fraction form
    8,208.64/12,310.02 = 3,276.88/x
  3. Step 3: Cross multiply
    8,208.64x = 12,310.02 × 3,276.88
  4. Step 4: Simplify right side
    8,208.64x = 40,338,458.34
  5. Step 5: Solve for x
    x = 40,338,458.34/8,208.64
  6. Step 6: Final answer
    x = 4,914.15

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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.