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Finding the Fourth Proportional to 8,148, 12,222 and 1,992

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Solution

The fourth proportional to 8,148, 12,222 and 1,992 is: 2,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148 : 12,222 = 1,992 : x
  2. Step 2: Convert to fraction form
    8,148/12,222 = 1,992/x
  3. Step 3: Cross multiply
    8,148x = 12,222 × 1,992
  4. Step 4: Simplify right side
    8,148x = 24,346,224
  5. Step 5: Solve for x
    x = 24,346,224/8,148
  6. Step 6: Final answer
    x = 2,988

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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.