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Finding the Fourth Proportional to 3,678.54, 5,076.44 and 1,999.95

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Solution

The fourth proportional to 3,678.54, 5,076.44 and 1,999.95 is: 2,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.54 : 5,076.44 = 1,999.95 : x
  2. Step 2: Convert to fraction form
    3,678.54/5,076.44 = 1,999.95/x
  3. Step 3: Cross multiply
    3,678.54x = 5,076.44 × 1,999.95
  4. Step 4: Simplify right side
    3,678.54x = 10,152,626.18
  5. Step 5: Solve for x
    x = 10,152,626.18/3,678.54
  6. Step 6: Final answer
    x = 2,759.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.