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Finding the Fourth Proportional to 2,082.70, 3,123.85 and 850.22

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Solution

The fourth proportional to 2,082.70, 3,123.85 and 850.22 is: 1,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.70 : 3,123.85 = 850.22 : x
  2. Step 2: Convert to fraction form
    2,082.70/3,123.85 = 850.22/x
  3. Step 3: Cross multiply
    2,082.70x = 3,123.85 × 850.22
  4. Step 4: Simplify right side
    2,082.70x = 2,655,959.75
  5. Step 5: Solve for x
    x = 2,655,959.75/2,082.70
  6. Step 6: Final answer
    x = 1,275.25

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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.