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Finding the Fourth Proportional to 5,200.88, 7,797.12 and 3,553.28

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Solution

The fourth proportional to 5,200.88, 7,797.12 and 3,553.28 is: 5,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.88 : 7,797.12 = 3,553.28 : x
  2. Step 2: Convert to fraction form
    5,200.88/7,797.12 = 3,553.28/x
  3. Step 3: Cross multiply
    5,200.88x = 7,797.12 × 3,553.28
  4. Step 4: Simplify right side
    5,200.88x = 27,705,350.55
  5. Step 5: Solve for x
    x = 27,705,350.55/5,200.88
  6. Step 6: Final answer
    x = 5,327.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.