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Finding the Fourth Proportional to 2,181.96, 3,274.65 and 884.34

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Solution

The fourth proportional to 2,181.96, 3,274.65 and 884.34 is: 1,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.96 : 3,274.65 = 884.34 : x
  2. Step 2: Convert to fraction form
    2,181.96/3,274.65 = 884.34/x
  3. Step 3: Cross multiply
    2,181.96x = 3,274.65 × 884.34
  4. Step 4: Simplify right side
    2,181.96x = 2,895,903.98
  5. Step 5: Solve for x
    x = 2,895,903.98/2,181.96
  6. Step 6: Final answer
    x = 1,327.20

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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.