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Finding the Fourth Proportional to 3,512.52, 5,268.78 and 1,974.60

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Solution

The fourth proportional to 3,512.52, 5,268.78 and 1,974.60 is: 2,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.52 : 5,268.78 = 1,974.60 : x
  2. Step 2: Convert to fraction form
    3,512.52/5,268.78 = 1,974.60/x
  3. Step 3: Cross multiply
    3,512.52x = 5,268.78 × 1,974.60
  4. Step 4: Simplify right side
    3,512.52x = 10,403,732.99
  5. Step 5: Solve for x
    x = 10,403,732.99/3,512.52
  6. Step 6: Final answer
    x = 2,961.90

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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.