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Finding the Fourth Proportional to 5,640.56, 8,464.64 and 2,133.64

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Solution

The fourth proportional to 5,640.56, 8,464.64 and 2,133.64 is: 3,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.56 : 8,464.64 = 2,133.64 : x
  2. Step 2: Convert to fraction form
    5,640.56/8,464.64 = 2,133.64/x
  3. Step 3: Cross multiply
    5,640.56x = 8,464.64 × 2,133.64
  4. Step 4: Simplify right side
    5,640.56x = 18,060,494.49
  5. Step 5: Solve for x
    x = 18,060,494.49/5,640.56
  6. Step 6: Final answer
    x = 3,201.90

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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.