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Finding the Fourth Proportional to 3,670.20, 5,497.20 and 3,589.20

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Solution

The fourth proportional to 3,670.20, 5,497.20 and 3,589.20 is: 5,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.20 : 5,497.20 = 3,589.20 : x
  2. Step 2: Convert to fraction form
    3,670.20/5,497.20 = 3,589.20/x
  3. Step 3: Cross multiply
    3,670.20x = 5,497.20 × 3,589.20
  4. Step 4: Simplify right side
    3,670.20x = 19,730,550.24
  5. Step 5: Solve for x
    x = 19,730,550.24/3,670.20
  6. Step 6: Final answer
    x = 5,375.88

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1.5x scale

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.