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Finding the Fourth Proportional to 3,654.12, 5,042.74 and 2,162.00

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Solution

The fourth proportional to 3,654.12, 5,042.74 and 2,162.00 is: 2,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.12 : 5,042.74 = 2,162.00 : x
  2. Step 2: Convert to fraction form
    3,654.12/5,042.74 = 2,162.00/x
  3. Step 3: Cross multiply
    3,654.12x = 5,042.74 × 2,162.00
  4. Step 4: Simplify right side
    3,654.12x = 10,902,415.14
  5. Step 5: Solve for x
    x = 10,902,415.14/3,654.12
  6. Step 6: Final answer
    x = 2,983.59

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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.