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Finding the Fourth Proportional to 3,992.49, 5,989.65 and 1,219.56

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Solution

The fourth proportional to 3,992.49, 5,989.65 and 1,219.56 is: 1,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.49 : 5,989.65 = 1,219.56 : x
  2. Step 2: Convert to fraction form
    3,992.49/5,989.65 = 1,219.56/x
  3. Step 3: Cross multiply
    3,992.49x = 5,989.65 × 1,219.56
  4. Step 4: Simplify right side
    3,992.49x = 7,304,710.52
  5. Step 5: Solve for x
    x = 7,304,710.52/3,992.49
  6. Step 6: Final answer
    x = 1,829.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.