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Finding the Fourth Proportional to 5,470.72, 8,209.34 and 2,183.32

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Solution

The fourth proportional to 5,470.72, 8,209.34 and 2,183.32 is: 3,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.72 : 8,209.34 = 2,183.32 : x
  2. Step 2: Convert to fraction form
    5,470.72/8,209.34 = 2,183.32/x
  3. Step 3: Cross multiply
    5,470.72x = 8,209.34 × 2,183.32
  4. Step 4: Simplify right side
    5,470.72x = 17,923,616.21
  5. Step 5: Solve for x
    x = 17,923,616.21/5,470.72
  6. Step 6: Final answer
    x = 3,276.28

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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.