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Finding the Fourth Proportional to 2,813, 3,884.10 and 2,226.56

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Solution

The fourth proportional to 2,813, 3,884.10 and 2,226.56 is: 3,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813 : 3,884.10 = 2,226.56 : x
  2. Step 2: Convert to fraction form
    2,813/3,884.10 = 2,226.56/x
  3. Step 3: Cross multiply
    2,813x = 3,884.10 × 2,226.56
  4. Step 4: Simplify right side
    2,813x = 8,648,181.70
  5. Step 5: Solve for x
    x = 8,648,181.70/2,813
  6. Step 6: Final answer
    x = 3,074.36

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1.5x scale

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.