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Finding the Fourth Proportional to 28,744, 39,669 and 16,169.68

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Solution

The fourth proportional to 28,744, 39,669 and 16,169.68 is: 22,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,744 : 39,669 = 16,169.68 : x
  2. Step 2: Convert to fraction form
    28,744/39,669 = 16,169.68/x
  3. Step 3: Cross multiply
    28,744x = 39,669 × 16,169.68
  4. Step 4: Simplify right side
    28,744x = 641,435,035.92
  5. Step 5: Solve for x
    x = 641,435,035.92/28,744
  6. Step 6: Final answer
    x = 22,315.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.