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Finding the Fourth Proportional to 6,122.80, 9,193.80 and 4,183.60

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Solution

The fourth proportional to 6,122.80, 9,193.80 and 4,183.60 is: 6,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.80 : 9,193.80 = 4,183.60 : x
  2. Step 2: Convert to fraction form
    6,122.80/9,193.80 = 4,183.60/x
  3. Step 3: Cross multiply
    6,122.80x = 9,193.80 × 4,183.60
  4. Step 4: Simplify right side
    6,122.80x = 38,463,181.68
  5. Step 5: Solve for x
    x = 38,463,181.68/6,122.80
  6. Step 6: Final answer
    x = 6,281.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.