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Finding the Fourth Proportional to 3,769.02, 5,643.12 and 2,841.78

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Solution

The fourth proportional to 3,769.02, 5,643.12 and 2,841.78 is: 4,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.02 : 5,643.12 = 2,841.78 : x
  2. Step 2: Convert to fraction form
    3,769.02/5,643.12 = 2,841.78/x
  3. Step 3: Cross multiply
    3,769.02x = 5,643.12 × 2,841.78
  4. Step 4: Simplify right side
    3,769.02x = 16,036,505.55
  5. Step 5: Solve for x
    x = 16,036,505.55/3,769.02
  6. Step 6: Final answer
    x = 4,254.82

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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.