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Finding the Fourth Proportional to 3,992.88, 5,989.56 and 1,219.74

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Solution

The fourth proportional to 3,992.88, 5,989.56 and 1,219.74 is: 1,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.88 : 5,989.56 = 1,219.74 : x
  2. Step 2: Convert to fraction form
    3,992.88/5,989.56 = 1,219.74/x
  3. Step 3: Cross multiply
    3,992.88x = 5,989.56 × 1,219.74
  4. Step 4: Simplify right side
    3,992.88x = 7,305,705.91
  5. Step 5: Solve for x
    x = 7,305,705.91/3,992.88
  6. Step 6: Final answer
    x = 1,829.68

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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.