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Finding the Fourth Proportional to 3,776.64, 5,657.64 and 2,128.14

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Solution

The fourth proportional to 3,776.64, 5,657.64 and 2,128.14 is: 3,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.64 : 5,657.64 = 2,128.14 : x
  2. Step 2: Convert to fraction form
    3,776.64/5,657.64 = 2,128.14/x
  3. Step 3: Cross multiply
    3,776.64x = 5,657.64 × 2,128.14
  4. Step 4: Simplify right side
    3,776.64x = 12,040,249.99
  5. Step 5: Solve for x
    x = 12,040,249.99/3,776.64
  6. Step 6: Final answer
    x = 3,188.09

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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.