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Finding the Fourth Proportional to 3,186.64, 4,395.87 and 2,006.88

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Solution

The fourth proportional to 3,186.64, 4,395.87 and 2,006.88 is: 2,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.64 : 4,395.87 = 2,006.88 : x
  2. Step 2: Convert to fraction form
    3,186.64/4,395.87 = 2,006.88/x
  3. Step 3: Cross multiply
    3,186.64x = 4,395.87 × 2,006.88
  4. Step 4: Simplify right side
    3,186.64x = 8,821,967.10
  5. Step 5: Solve for x
    x = 8,821,967.10/3,186.64
  6. Step 6: Final answer
    x = 2,768.42

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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.