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Finding the Fourth Proportional to 3,892.80, 5,830.60 and 3,589.28

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Solution

The fourth proportional to 3,892.80, 5,830.60 and 3,589.28 is: 5,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.80 : 5,830.60 = 3,589.28 : x
  2. Step 2: Convert to fraction form
    3,892.80/5,830.60 = 3,589.28/x
  3. Step 3: Cross multiply
    3,892.80x = 5,830.60 × 3,589.28
  4. Step 4: Simplify right side
    3,892.80x = 20,927,655.97
  5. Step 5: Solve for x
    x = 20,927,655.97/3,892.80
  6. Step 6: Final answer
    x = 5,375.99

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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.