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Finding the Fourth Proportional to 33,891, 46,769.58 and 20,643

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Solution

The fourth proportional to 33,891, 46,769.58 and 20,643 is: 28,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,891 : 46,769.58 = 20,643 : x
  2. Step 2: Convert to fraction form
    33,891/46,769.58 = 20,643/x
  3. Step 3: Cross multiply
    33,891x = 46,769.58 × 20,643
  4. Step 4: Simplify right side
    33,891x = 965,464,439.94
  5. Step 5: Solve for x
    x = 965,464,439.94/33,891
  6. Step 6: Final answer
    x = 28,487.34

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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.