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Finding the Fourth Proportional to 2,082.60, 3,123 and 621.72

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Solution

The fourth proportional to 2,082.60, 3,123 and 621.72 is: 932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.60 : 3,123 = 621.72 : x
  2. Step 2: Convert to fraction form
    2,082.60/3,123 = 621.72/x
  3. Step 3: Cross multiply
    2,082.60x = 3,123 × 621.72
  4. Step 4: Simplify right side
    2,082.60x = 1,941,631.56
  5. Step 5: Solve for x
    x = 1,941,631.56/2,082.60
  6. Step 6: Final answer
    x = 932.31

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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.