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Finding the Fourth Proportional to 5,660.87, 7,806.83 and 3,745.88

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Solution

The fourth proportional to 5,660.87, 7,806.83 and 3,745.88 is: 5,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.87 : 7,806.83 = 3,745.88 : x
  2. Step 2: Convert to fraction form
    5,660.87/7,806.83 = 3,745.88/x
  3. Step 3: Cross multiply
    5,660.87x = 7,806.83 × 3,745.88
  4. Step 4: Simplify right side
    5,660.87x = 29,243,390.60
  5. Step 5: Solve for x
    x = 29,243,390.60/5,660.87
  6. Step 6: Final answer
    x = 5,165.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.