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Finding the Fourth Proportional to 3,992.80, 5,987.70 and 1,912.24

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Solution

The fourth proportional to 3,992.80, 5,987.70 and 1,912.24 is: 2,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.80 : 5,987.70 = 1,912.24 : x
  2. Step 2: Convert to fraction form
    3,992.80/5,987.70 = 1,912.24/x
  3. Step 3: Cross multiply
    3,992.80x = 5,987.70 × 1,912.24
  4. Step 4: Simplify right side
    3,992.80x = 11,449,919.45
  5. Step 5: Solve for x
    x = 11,449,919.45/3,992.80
  6. Step 6: Final answer
    x = 2,867.64

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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.