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Finding the Fourth Proportional to 3,771, 5,651.64 and 2,128.32

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Solution

The fourth proportional to 3,771, 5,651.64 and 2,128.32 is: 3,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771 : 5,651.64 = 2,128.32 : x
  2. Step 2: Convert to fraction form
    3,771/5,651.64 = 2,128.32/x
  3. Step 3: Cross multiply
    3,771x = 5,651.64 × 2,128.32
  4. Step 4: Simplify right side
    3,771x = 12,028,498.44
  5. Step 5: Solve for x
    x = 12,028,498.44/3,771
  6. Step 6: Final answer
    x = 3,189.74

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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.