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Finding the Fourth Proportional to 12,456, 18,684.36 and 3,222

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Solution

The fourth proportional to 12,456, 18,684.36 and 3,222 is: 4,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456 : 18,684.36 = 3,222 : x
  2. Step 2: Convert to fraction form
    12,456/18,684.36 = 3,222/x
  3. Step 3: Cross multiply
    12,456x = 18,684.36 × 3,222
  4. Step 4: Simplify right side
    12,456x = 60,201,007.92
  5. Step 5: Solve for x
    x = 60,201,007.92/12,456
  6. Step 6: Final answer
    x = 4,833.09

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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.