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Finding the Fourth Proportional to 39,769, 59,653.86 and 12,067

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Solution

The fourth proportional to 39,769, 59,653.86 and 12,067 is: 18,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,769 : 59,653.86 = 12,067 : x
  2. Step 2: Convert to fraction form
    39,769/59,653.86 = 12,067/x
  3. Step 3: Cross multiply
    39,769x = 59,653.86 × 12,067
  4. Step 4: Simplify right side
    39,769x = 719,843,128.62
  5. Step 5: Solve for x
    x = 719,843,128.62/39,769
  6. Step 6: Final answer
    x = 18,100.61

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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.