Home / 2,082.11-3,123.30-783.14

Finding the Fourth Proportional to 2,082.11, 3,123.30 and 783.14

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Solution

The fourth proportional to 2,082.11, 3,123.30 and 783.14 is: 1,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.11 : 3,123.30 = 783.14 : x
  2. Step 2: Convert to fraction form
    2,082.11/3,123.30 = 783.14/x
  3. Step 3: Cross multiply
    2,082.11x = 3,123.30 × 783.14
  4. Step 4: Simplify right side
    2,082.11x = 2,445,981.16
  5. Step 5: Solve for x
    x = 2,445,981.16/2,082.11
  6. Step 6: Final answer
    x = 1,174.76

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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.