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Finding the Fourth Proportional to 3,794.10, 5,682.40 and 3,662.76

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Solution

The fourth proportional to 3,794.10, 5,682.40 and 3,662.76 is: 5,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.10 : 5,682.40 = 3,662.76 : x
  2. Step 2: Convert to fraction form
    3,794.10/5,682.40 = 3,662.76/x
  3. Step 3: Cross multiply
    3,794.10x = 5,682.40 × 3,662.76
  4. Step 4: Simplify right side
    3,794.10x = 20,813,267.42
  5. Step 5: Solve for x
    x = 20,813,267.42/3,794.10
  6. Step 6: Final answer
    x = 5,485.69

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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.