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Finding the Fourth Proportional to 3,769.70, 5,621.42 and 3,686

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Solution

The fourth proportional to 3,769.70, 5,621.42 and 3,686 is: 5,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.70 : 5,621.42 = 3,686 : x
  2. Step 2: Convert to fraction form
    3,769.70/5,621.42 = 3,686/x
  3. Step 3: Cross multiply
    3,769.70x = 5,621.42 × 3,686
  4. Step 4: Simplify right side
    3,769.70x = 20,720,554.12
  5. Step 5: Solve for x
    x = 20,720,554.12/3,769.70
  6. Step 6: Final answer
    x = 5,496.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.