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Finding the Fourth Proportional to 2,629.49, 3,944.46 and 874.43

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Solution

The fourth proportional to 2,629.49, 3,944.46 and 874.43 is: 1,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.49 : 3,944.46 = 874.43 : x
  2. Step 2: Convert to fraction form
    2,629.49/3,944.46 = 874.43/x
  3. Step 3: Cross multiply
    2,629.49x = 3,944.46 × 874.43
  4. Step 4: Simplify right side
    2,629.49x = 3,449,154.16
  5. Step 5: Solve for x
    x = 3,449,154.16/2,629.49
  6. Step 6: Final answer
    x = 1,311.72

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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.