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Finding the Fourth Proportional to 1,328.92, 1,993.73 and 1,183.67

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Solution

The fourth proportional to 1,328.92, 1,993.73 and 1,183.67 is: 1,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.92 : 1,993.73 = 1,183.67 : x
  2. Step 2: Convert to fraction form
    1,328.92/1,993.73 = 1,183.67/x
  3. Step 3: Cross multiply
    1,328.92x = 1,993.73 × 1,183.67
  4. Step 4: Simplify right side
    1,328.92x = 2,359,913.60
  5. Step 5: Solve for x
    x = 2,359,913.60/1,328.92
  6. Step 6: Final answer
    x = 1,775.81

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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.