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Finding the Fourth Proportional to 12,004, 18,005.94 and 3,239.80

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Solution

The fourth proportional to 12,004, 18,005.94 and 3,239.80 is: 4,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004 : 18,005.94 = 3,239.80 : x
  2. Step 2: Convert to fraction form
    12,004/18,005.94 = 3,239.80/x
  3. Step 3: Cross multiply
    12,004x = 18,005.94 × 3,239.80
  4. Step 4: Simplify right side
    12,004x = 58,335,644.41
  5. Step 5: Solve for x
    x = 58,335,644.41/12,004
  6. Step 6: Final answer
    x = 4,859.68

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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.