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Finding the Fourth Proportional to 5,242.56, 7,821.84 and 4,183.44

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Solution

The fourth proportional to 5,242.56, 7,821.84 and 4,183.44 is: 6,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.56 : 7,821.84 = 4,183.44 : x
  2. Step 2: Convert to fraction form
    5,242.56/7,821.84 = 4,183.44/x
  3. Step 3: Cross multiply
    5,242.56x = 7,821.84 × 4,183.44
  4. Step 4: Simplify right side
    5,242.56x = 32,722,198.33
  5. Step 5: Solve for x
    x = 32,722,198.33/5,242.56
  6. Step 6: Final answer
    x = 6,241.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.