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Finding the Fourth Proportional to 40,053.69, 60,083.64 and 11,971.80

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Solution

The fourth proportional to 40,053.69, 60,083.64 and 11,971.80 is: 17,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,053.69 : 60,083.64 = 11,971.80 : x
  2. Step 2: Convert to fraction form
    40,053.69/60,083.64 = 11,971.80/x
  3. Step 3: Cross multiply
    40,053.69x = 60,083.64 × 11,971.80
  4. Step 4: Simplify right side
    40,053.69x = 719,309,321.35
  5. Step 5: Solve for x
    x = 719,309,321.35/40,053.69
  6. Step 6: Final answer
    x = 17,958.63

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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.