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Finding the Fourth Proportional to 13,212, 19,818 and 3,978

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Solution

The fourth proportional to 13,212, 19,818 and 3,978 is: 5,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212 : 19,818 = 3,978 : x
  2. Step 2: Convert to fraction form
    13,212/19,818 = 3,978/x
  3. Step 3: Cross multiply
    13,212x = 19,818 × 3,978
  4. Step 4: Simplify right side
    13,212x = 78,836,004
  5. Step 5: Solve for x
    x = 78,836,004/13,212
  6. Step 6: Final answer
    x = 5,967

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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.