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Finding the Fourth Proportional to 3,769.47, 5,644.89 and 3,040.47

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Solution

The fourth proportional to 3,769.47, 5,644.89 and 3,040.47 is: 4,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.47 : 5,644.89 = 3,040.47 : x
  2. Step 2: Convert to fraction form
    3,769.47/5,644.89 = 3,040.47/x
  3. Step 3: Cross multiply
    3,769.47x = 5,644.89 × 3,040.47
  4. Step 4: Simplify right side
    3,769.47x = 17,163,118.70
  5. Step 5: Solve for x
    x = 17,163,118.70/3,769.47
  6. Step 6: Final answer
    x = 4,553.19

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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.