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Finding the Fourth Proportional to 2,305.92, 3,181.80 and 1,311

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Solution

The fourth proportional to 2,305.92, 3,181.80 and 1,311 is: 1,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,181.80 = 1,311 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,181.80 = 1,311/x
  3. Step 3: Cross multiply
    2,305.92x = 3,181.80 × 1,311
  4. Step 4: Simplify right side
    2,305.92x = 4,171,339.80
  5. Step 5: Solve for x
    x = 4,171,339.80/2,305.92
  6. Step 6: Final answer
    x = 1,808.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.