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Finding the Fourth Proportional to 2,786.98, 4,181.11 and 938.05

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Solution

The fourth proportional to 2,786.98, 4,181.11 and 938.05 is: 1,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.98 : 4,181.11 = 938.05 : x
  2. Step 2: Convert to fraction form
    2,786.98/4,181.11 = 938.05/x
  3. Step 3: Cross multiply
    2,786.98x = 4,181.11 × 938.05
  4. Step 4: Simplify right side
    2,786.98x = 3,922,069.33
  5. Step 5: Solve for x
    x = 3,922,069.33/2,786.98
  6. Step 6: Final answer
    x = 1,407.28

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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.