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Finding the Fourth Proportional to 3,864, 5,796.96 and 1,128

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Solution

The fourth proportional to 3,864, 5,796.96 and 1,128 is: 1,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,796.96 = 1,128 : x
  2. Step 2: Convert to fraction form
    3,864/5,796.96 = 1,128/x
  3. Step 3: Cross multiply
    3,864x = 5,796.96 × 1,128
  4. Step 4: Simplify right side
    3,864x = 6,538,970.88
  5. Step 5: Solve for x
    x = 6,538,970.88/3,864
  6. Step 6: Final answer
    x = 1,692.28

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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.