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Finding the Fourth Proportional to 5,675.76, 8,517.04 and 2,388.64

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Solution

The fourth proportional to 5,675.76, 8,517.04 and 2,388.64 is: 3,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.76 : 8,517.04 = 2,388.64 : x
  2. Step 2: Convert to fraction form
    5,675.76/8,517.04 = 2,388.64/x
  3. Step 3: Cross multiply
    5,675.76x = 8,517.04 × 2,388.64
  4. Step 4: Simplify right side
    5,675.76x = 20,344,142.43
  5. Step 5: Solve for x
    x = 20,344,142.43/5,675.76
  6. Step 6: Final answer
    x = 3,584.39

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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.