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Finding the Fourth Proportional to 2,786.85, 4,181.22 and 938.16

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Solution

The fourth proportional to 2,786.85, 4,181.22 and 938.16 is: 1,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.85 : 4,181.22 = 938.16 : x
  2. Step 2: Convert to fraction form
    2,786.85/4,181.22 = 938.16/x
  3. Step 3: Cross multiply
    2,786.85x = 4,181.22 × 938.16
  4. Step 4: Simplify right side
    2,786.85x = 3,922,653.36
  5. Step 5: Solve for x
    x = 3,922,653.36/2,786.85
  6. Step 6: Final answer
    x = 1,407.56

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1.5x scale

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.