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Finding the Fourth Proportional to 3,675.29, 5,071.84 and 1,996.72

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Solution

The fourth proportional to 3,675.29, 5,071.84 and 1,996.72 is: 2,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.29 : 5,071.84 = 1,996.72 : x
  2. Step 2: Convert to fraction form
    3,675.29/5,071.84 = 1,996.72/x
  3. Step 3: Cross multiply
    3,675.29x = 5,071.84 × 1,996.72
  4. Step 4: Simplify right side
    3,675.29x = 10,127,054.55
  5. Step 5: Solve for x
    x = 10,127,054.55/3,675.29
  6. Step 6: Final answer
    x = 2,755.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.