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Finding the Fourth Proportional to 2,662.83, 3,996.38 and 1,202.11

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Solution

The fourth proportional to 2,662.83, 3,996.38 and 1,202.11 is: 1,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.83 : 3,996.38 = 1,202.11 : x
  2. Step 2: Convert to fraction form
    2,662.83/3,996.38 = 1,202.11/x
  3. Step 3: Cross multiply
    2,662.83x = 3,996.38 × 1,202.11
  4. Step 4: Simplify right side
    2,662.83x = 4,804,081.38
  5. Step 5: Solve for x
    x = 4,804,081.38/2,662.83
  6. Step 6: Final answer
    x = 1,804.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.