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Finding the Fourth Proportional to 3,978, 5,968.44 and 1,242

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Solution

The fourth proportional to 3,978, 5,968.44 and 1,242 is: 1,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978 : 5,968.44 = 1,242 : x
  2. Step 2: Convert to fraction form
    3,978/5,968.44 = 1,242/x
  3. Step 3: Cross multiply
    3,978x = 5,968.44 × 1,242
  4. Step 4: Simplify right side
    3,978x = 7,412,802.48
  5. Step 5: Solve for x
    x = 7,412,802.48/3,978
  6. Step 6: Final answer
    x = 1,863.45

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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.