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Finding the Fourth Proportional to 3,183.45, 4,773.81 and 992.36

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Solution

The fourth proportional to 3,183.45, 4,773.81 and 992.36 is: 1,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.45 : 4,773.81 = 992.36 : x
  2. Step 2: Convert to fraction form
    3,183.45/4,773.81 = 992.36/x
  3. Step 3: Cross multiply
    3,183.45x = 4,773.81 × 992.36
  4. Step 4: Simplify right side
    3,183.45x = 4,737,314.22
  5. Step 5: Solve for x
    x = 4,737,314.22/3,183.45
  6. Step 6: Final answer
    x = 1,488.11

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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.