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Finding the Fourth Proportional to 3,379.82, 5,071.35 and 2,941.88

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Solution

The fourth proportional to 3,379.82, 5,071.35 and 2,941.88 is: 4,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.82 : 5,071.35 = 2,941.88 : x
  2. Step 2: Convert to fraction form
    3,379.82/5,071.35 = 2,941.88/x
  3. Step 3: Cross multiply
    3,379.82x = 5,071.35 × 2,941.88
  4. Step 4: Simplify right side
    3,379.82x = 14,919,303.14
  5. Step 5: Solve for x
    x = 14,919,303.14/3,379.82
  6. Step 6: Final answer
    x = 4,414.23

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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.