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Finding the Fourth Proportional to 2,183.64, 3,275.40 and 997.80

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Solution

The fourth proportional to 2,183.64, 3,275.40 and 997.80 is: 1,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.64 : 3,275.40 = 997.80 : x
  2. Step 2: Convert to fraction form
    2,183.64/3,275.40 = 997.80/x
  3. Step 3: Cross multiply
    2,183.64x = 3,275.40 × 997.80
  4. Step 4: Simplify right side
    2,183.64x = 3,268,194.12
  5. Step 5: Solve for x
    x = 3,268,194.12/2,183.64
  6. Step 6: Final answer
    x = 1,496.67

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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.