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Finding the Fourth Proportional to 2,082.09, 3,123.14 and 621.20

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Solution

The fourth proportional to 2,082.09, 3,123.14 and 621.20 is: 931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.09 : 3,123.14 = 621.20 : x
  2. Step 2: Convert to fraction form
    2,082.09/3,123.14 = 621.20/x
  3. Step 3: Cross multiply
    2,082.09x = 3,123.14 × 621.20
  4. Step 4: Simplify right side
    2,082.09x = 1,940,075.85
  5. Step 5: Solve for x
    x = 1,940,075.85/2,082.09
  6. Step 6: Final answer
    x = 931.79

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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.