Home / 2,082.19-3,121.75-985.27

Finding the Fourth Proportional to 2,082.19, 3,121.75 and 985.27

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Solution

The fourth proportional to 2,082.19, 3,121.75 and 985.27 is: 1,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.19 : 3,121.75 = 985.27 : x
  2. Step 2: Convert to fraction form
    2,082.19/3,121.75 = 985.27/x
  3. Step 3: Cross multiply
    2,082.19x = 3,121.75 × 985.27
  4. Step 4: Simplify right side
    2,082.19x = 3,075,761.70
  5. Step 5: Solve for x
    x = 3,075,761.70/2,082.19
  6. Step 6: Final answer
    x = 1,477.18

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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.