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Finding the Fourth Proportional to 3,978, 5,967.36 and 1,926

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Solution

The fourth proportional to 3,978, 5,967.36 and 1,926 is: 2,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978 : 5,967.36 = 1,926 : x
  2. Step 2: Convert to fraction form
    3,978/5,967.36 = 1,926/x
  3. Step 3: Cross multiply
    3,978x = 5,967.36 × 1,926
  4. Step 4: Simplify right side
    3,978x = 11,493,135.36
  5. Step 5: Solve for x
    x = 11,493,135.36/3,978
  6. Step 6: Final answer
    x = 2,889.17

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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.