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Finding the Fourth Proportional to 3,661.78, 5,052.93 and 2,169.43

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Solution

The fourth proportional to 3,661.78, 5,052.93 and 2,169.43 is: 2,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.78 : 5,052.93 = 2,169.43 : x
  2. Step 2: Convert to fraction form
    3,661.78/5,052.93 = 2,169.43/x
  3. Step 3: Cross multiply
    3,661.78x = 5,052.93 × 2,169.43
  4. Step 4: Simplify right side
    3,661.78x = 10,961,977.93
  5. Step 5: Solve for x
    x = 10,961,977.93/3,661.78
  6. Step 6: Final answer
    x = 2,993.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.