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Finding the Fourth Proportional to 2,082.12, 3,122.94 and 543.24

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Solution

The fourth proportional to 2,082.12, 3,122.94 and 543.24 is: 814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.12 : 3,122.94 = 543.24 : x
  2. Step 2: Convert to fraction form
    2,082.12/3,122.94 = 543.24/x
  3. Step 3: Cross multiply
    2,082.12x = 3,122.94 × 543.24
  4. Step 4: Simplify right side
    2,082.12x = 1,696,505.93
  5. Step 5: Solve for x
    x = 1,696,505.93/2,082.12
  6. Step 6: Final answer
    x = 814.80

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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.