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Finding the Fourth Proportional to 2,144.57, 3,216.09 and 828.42

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Solution

The fourth proportional to 2,144.57, 3,216.09 and 828.42 is: 1,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.57 : 3,216.09 = 828.42 : x
  2. Step 2: Convert to fraction form
    2,144.57/3,216.09 = 828.42/x
  3. Step 3: Cross multiply
    2,144.57x = 3,216.09 × 828.42
  4. Step 4: Simplify right side
    2,144.57x = 2,664,273.28
  5. Step 5: Solve for x
    x = 2,664,273.28/2,144.57
  6. Step 6: Final answer
    x = 1,242.34

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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.