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Finding the Fourth Proportional to 3,781.30, 5,671.02 and 1,441.62

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Solution

The fourth proportional to 3,781.30, 5,671.02 and 1,441.62 is: 2,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.30 : 5,671.02 = 1,441.62 : x
  2. Step 2: Convert to fraction form
    3,781.30/5,671.02 = 1,441.62/x
  3. Step 3: Cross multiply
    3,781.30x = 5,671.02 × 1,441.62
  4. Step 4: Simplify right side
    3,781.30x = 8,175,455.85
  5. Step 5: Solve for x
    x = 8,175,455.85/3,781.30
  6. Step 6: Final answer
    x = 2,162.08

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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.