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Finding the Fourth Proportional to 33,679, 46,478.46 and 18,775

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Solution

The fourth proportional to 33,679, 46,478.46 and 18,775 is: 25,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,679 : 46,478.46 = 18,775 : x
  2. Step 2: Convert to fraction form
    33,679/46,478.46 = 18,775/x
  3. Step 3: Cross multiply
    33,679x = 46,478.46 × 18,775
  4. Step 4: Simplify right side
    33,679x = 872,633,086.50
  5. Step 5: Solve for x
    x = 872,633,086.50/33,679
  6. Step 6: Final answer
    x = 25,910.30

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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.