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Finding the Fourth Proportional to 5,765.82, 8,641.41 and 3,165.72

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Solution

The fourth proportional to 5,765.82, 8,641.41 and 3,165.72 is: 4,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.82 : 8,641.41 = 3,165.72 : x
  2. Step 2: Convert to fraction form
    5,765.82/8,641.41 = 3,165.72/x
  3. Step 3: Cross multiply
    5,765.82x = 8,641.41 × 3,165.72
  4. Step 4: Simplify right side
    5,765.82x = 27,356,241.26
  5. Step 5: Solve for x
    x = 27,356,241.26/5,765.82
  6. Step 6: Final answer
    x = 4,744.56

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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.