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Finding the Fourth Proportional to 3,181.33, 4,772 and 872.83

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Solution

The fourth proportional to 3,181.33, 4,772 and 872.83 is: 1,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.33 : 4,772 = 872.83 : x
  2. Step 2: Convert to fraction form
    3,181.33/4,772 = 872.83/x
  3. Step 3: Cross multiply
    3,181.33x = 4,772 × 872.83
  4. Step 4: Simplify right side
    3,181.33x = 4,165,144.76
  5. Step 5: Solve for x
    x = 4,165,144.76/3,181.33
  6. Step 6: Final answer
    x = 1,309.25

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Why These Related Problems?

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