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Finding the Fourth Proportional to 33,389, 50,083.50 and 13,407.61

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Solution

The fourth proportional to 33,389, 50,083.50 and 13,407.61 is: 20,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,389 : 50,083.50 = 13,407.61 : x
  2. Step 2: Convert to fraction form
    33,389/50,083.50 = 13,407.61/x
  3. Step 3: Cross multiply
    33,389x = 50,083.50 × 13,407.61
  4. Step 4: Simplify right side
    33,389x = 671,500,035.44
  5. Step 5: Solve for x
    x = 671,500,035.44/33,389
  6. Step 6: Final answer
    x = 20,111.42

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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.