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Finding the Fourth Proportional to 12,212, 18,318.12 and 2,978

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Solution

The fourth proportional to 12,212, 18,318.12 and 2,978 is: 4,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212 : 18,318.12 = 2,978 : x
  2. Step 2: Convert to fraction form
    12,212/18,318.12 = 2,978/x
  3. Step 3: Cross multiply
    12,212x = 18,318.12 × 2,978
  4. Step 4: Simplify right side
    12,212x = 54,551,361.36
  5. Step 5: Solve for x
    x = 54,551,361.36/12,212
  6. Step 6: Final answer
    x = 4,467.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.