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Finding the Fourth Proportional to 3,082.80, 4,624.20 and 1,983.90

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Solution

The fourth proportional to 3,082.80, 4,624.20 and 1,983.90 is: 2,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.80 : 4,624.20 = 1,983.90 : x
  2. Step 2: Convert to fraction form
    3,082.80/4,624.20 = 1,983.90/x
  3. Step 3: Cross multiply
    3,082.80x = 4,624.20 × 1,983.90
  4. Step 4: Simplify right side
    3,082.80x = 9,173,950.38
  5. Step 5: Solve for x
    x = 9,173,950.38/3,082.80
  6. Step 6: Final answer
    x = 2,975.85

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Similar ratio
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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.