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Finding the Fourth Proportional to 3,181.91, 4,771.31 and 1,868.22

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Solution

The fourth proportional to 3,181.91, 4,771.31 and 1,868.22 is: 2,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.91 : 4,771.31 = 1,868.22 : x
  2. Step 2: Convert to fraction form
    3,181.91/4,771.31 = 1,868.22/x
  3. Step 3: Cross multiply
    3,181.91x = 4,771.31 × 1,868.22
  4. Step 4: Simplify right side
    3,181.91x = 8,913,847.43
  5. Step 5: Solve for x
    x = 8,913,847.43/3,181.91
  6. Step 6: Final answer
    x = 2,801.42

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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.