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Finding the Fourth Proportional to 2,082.38, 3,123.77 and 543.38

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Solution

The fourth proportional to 2,082.38, 3,123.77 and 543.38 is: 815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.38 : 3,123.77 = 543.38 : x
  2. Step 2: Convert to fraction form
    2,082.38/3,123.77 = 543.38/x
  3. Step 3: Cross multiply
    2,082.38x = 3,123.77 × 543.38
  4. Step 4: Simplify right side
    2,082.38x = 1,697,375.81
  5. Step 5: Solve for x
    x = 1,697,375.81/2,082.38
  6. Step 6: Final answer
    x = 815.12

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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.