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Finding the Fourth Proportional to 5,982.76, 8,975.64 and 3,519.64

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Solution

The fourth proportional to 5,982.76, 8,975.64 and 3,519.64 is: 5,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.76 : 8,975.64 = 3,519.64 : x
  2. Step 2: Convert to fraction form
    5,982.76/8,975.64 = 3,519.64/x
  3. Step 3: Cross multiply
    5,982.76x = 8,975.64 × 3,519.64
  4. Step 4: Simplify right side
    5,982.76x = 31,591,021.57
  5. Step 5: Solve for x
    x = 31,591,021.57/5,982.76
  6. Step 6: Final answer
    x = 5,280.34

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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.