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Finding the Fourth Proportional to 5,765.58, 8,634.20 and 3,679.43

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Solution

The fourth proportional to 5,765.58, 8,634.20 and 3,679.43 is: 5,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.58 : 8,634.20 = 3,679.43 : x
  2. Step 2: Convert to fraction form
    5,765.58/8,634.20 = 3,679.43/x
  3. Step 3: Cross multiply
    5,765.58x = 8,634.20 × 3,679.43
  4. Step 4: Simplify right side
    5,765.58x = 31,768,872.94
  5. Step 5: Solve for x
    x = 31,768,872.94/5,765.58
  6. Step 6: Final answer
    x = 5,510.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.