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Finding the Fourth Proportional to 2,082.13, 3,123.22 and 543.13

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Solution

The fourth proportional to 2,082.13, 3,123.22 and 543.13 is: 814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.13 : 3,123.22 = 543.13 : x
  2. Step 2: Convert to fraction form
    2,082.13/3,123.22 = 543.13/x
  3. Step 3: Cross multiply
    2,082.13x = 3,123.22 × 543.13
  4. Step 4: Simplify right side
    2,082.13x = 1,696,297.50
  5. Step 5: Solve for x
    x = 1,696,297.50/2,082.13
  6. Step 6: Final answer
    x = 814.70

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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.