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Finding the Fourth Proportional to 2,820.08, 4,230.53 and 872.44

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Solution

The fourth proportional to 2,820.08, 4,230.53 and 872.44 is: 1,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.08 : 4,230.53 = 872.44 : x
  2. Step 2: Convert to fraction form
    2,820.08/4,230.53 = 872.44/x
  3. Step 3: Cross multiply
    2,820.08x = 4,230.53 × 872.44
  4. Step 4: Simplify right side
    2,820.08x = 3,690,871.93
  5. Step 5: Solve for x
    x = 3,690,871.93/2,820.08
  6. Step 6: Final answer
    x = 1,308.78

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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.