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Finding the Fourth Proportional to 3,769.02, 5,654.70 and 1,820.88

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Solution

The fourth proportional to 3,769.02, 5,654.70 and 1,820.88 is: 2,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.02 : 5,654.70 = 1,820.88 : x
  2. Step 2: Convert to fraction form
    3,769.02/5,654.70 = 1,820.88/x
  3. Step 3: Cross multiply
    3,769.02x = 5,654.70 × 1,820.88
  4. Step 4: Simplify right side
    3,769.02x = 10,296,530.14
  5. Step 5: Solve for x
    x = 10,296,530.14/3,769.02
  6. Step 6: Final answer
    x = 2,731.89

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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.