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Finding the Fourth Proportional to 3,181.76, 4,772 and 872.96

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Solution

The fourth proportional to 3,181.76, 4,772 and 872.96 is: 1,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.76 : 4,772 = 872.96 : x
  2. Step 2: Convert to fraction form
    3,181.76/4,772 = 872.96/x
  3. Step 3: Cross multiply
    3,181.76x = 4,772 × 872.96
  4. Step 4: Simplify right side
    3,181.76x = 4,165,765.12
  5. Step 5: Solve for x
    x = 4,165,765.12/3,181.76
  6. Step 6: Final answer
    x = 1,309.26

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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.