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Finding the Fourth Proportional to 5,982.28, 8,968.50 and 5,200.44

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Solution

The fourth proportional to 5,982.28, 8,968.50 and 5,200.44 is: 7,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.28 : 8,968.50 = 5,200.44 : x
  2. Step 2: Convert to fraction form
    5,982.28/8,968.50 = 5,200.44/x
  3. Step 3: Cross multiply
    5,982.28x = 8,968.50 × 5,200.44
  4. Step 4: Simplify right side
    5,982.28x = 46,640,146.14
  5. Step 5: Solve for x
    x = 46,640,146.14/5,982.28
  6. Step 6: Final answer
    x = 7,796.38

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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.