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Finding the Fourth Proportional to 2,082.72, 3,124.08 and 621.90

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Solution

The fourth proportional to 2,082.72, 3,124.08 and 621.90 is: 932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.72 : 3,124.08 = 621.90 : x
  2. Step 2: Convert to fraction form
    2,082.72/3,124.08 = 621.90/x
  3. Step 3: Cross multiply
    2,082.72x = 3,124.08 × 621.90
  4. Step 4: Simplify right side
    2,082.72x = 1,942,865.35
  5. Step 5: Solve for x
    x = 1,942,865.35/2,082.72
  6. Step 6: Final answer
    x = 932.85

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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.