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Finding the Fourth Proportional to 3,998.11, 5,986.91 and 2,956.55

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Solution

The fourth proportional to 3,998.11, 5,986.91 and 2,956.55 is: 4,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.11 : 5,986.91 = 2,956.55 : x
  2. Step 2: Convert to fraction form
    3,998.11/5,986.91 = 2,956.55/x
  3. Step 3: Cross multiply
    3,998.11x = 5,986.91 × 2,956.55
  4. Step 4: Simplify right side
    3,998.11x = 17,700,609.89
  5. Step 5: Solve for x
    x = 17,700,609.89/3,998.11
  6. Step 6: Final answer
    x = 4,427.25

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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.