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Finding the Fourth Proportional to 3,772.02, 5,659.57 and 1,690.62

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Solution

The fourth proportional to 3,772.02, 5,659.57 and 1,690.62 is: 2,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.02 : 5,659.57 = 1,690.62 : x
  2. Step 2: Convert to fraction form
    3,772.02/5,659.57 = 1,690.62/x
  3. Step 3: Cross multiply
    3,772.02x = 5,659.57 × 1,690.62
  4. Step 4: Simplify right side
    3,772.02x = 9,568,194.96
  5. Step 5: Solve for x
    x = 9,568,194.96/3,772.02
  6. Step 6: Final answer
    x = 2,536.62

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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.