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Finding the Fourth Proportional to 3,770.54, 5,654.68 and 1,428.82

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Solution

The fourth proportional to 3,770.54, 5,654.68 and 1,428.82 is: 2,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.54 : 5,654.68 = 1,428.82 : x
  2. Step 2: Convert to fraction form
    3,770.54/5,654.68 = 1,428.82/x
  3. Step 3: Cross multiply
    3,770.54x = 5,654.68 × 1,428.82
  4. Step 4: Simplify right side
    3,770.54x = 8,079,519.88
  5. Step 5: Solve for x
    x = 8,079,519.88/3,770.54
  6. Step 6: Final answer
    x = 2,142.80

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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.