Home / 2,082.57-3,123.28-1,027.87

Finding the Fourth Proportional to 2,082.57, 3,123.28 and 1,027.87

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Solution

The fourth proportional to 2,082.57, 3,123.28 and 1,027.87 is: 1,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.57 : 3,123.28 = 1,027.87 : x
  2. Step 2: Convert to fraction form
    2,082.57/3,123.28 = 1,027.87/x
  3. Step 3: Cross multiply
    2,082.57x = 3,123.28 × 1,027.87
  4. Step 4: Simplify right side
    2,082.57x = 3,210,325.81
  5. Step 5: Solve for x
    x = 3,210,325.81/2,082.57
  6. Step 6: Final answer
    x = 1,541.52

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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.