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Finding the Fourth Proportional to 39,401, 59,111.22 and 11,699

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Solution

The fourth proportional to 39,401, 59,111.22 and 11,699 is: 17,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,401 : 59,111.22 = 11,699 : x
  2. Step 2: Convert to fraction form
    39,401/59,111.22 = 11,699/x
  3. Step 3: Cross multiply
    39,401x = 59,111.22 × 11,699
  4. Step 4: Simplify right side
    39,401x = 691,542,162.78
  5. Step 5: Solve for x
    x = 691,542,162.78/39,401
  6. Step 6: Final answer
    x = 17,551.39

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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.