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Finding the Fourth Proportional to 3,782.96, 5,671.82 and 1,589.90

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Solution

The fourth proportional to 3,782.96, 5,671.82 and 1,589.90 is: 2,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.96 : 5,671.82 = 1,589.90 : x
  2. Step 2: Convert to fraction form
    3,782.96/5,671.82 = 1,589.90/x
  3. Step 3: Cross multiply
    3,782.96x = 5,671.82 × 1,589.90
  4. Step 4: Simplify right side
    3,782.96x = 9,017,626.62
  5. Step 5: Solve for x
    x = 9,017,626.62/3,782.96
  6. Step 6: Final answer
    x = 2,383.75

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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.