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Finding the Fourth Proportional to 33,804, 50,706.20 and 9,180

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Solution

The fourth proportional to 33,804, 50,706.20 and 9,180 is: 13,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,804 : 50,706.20 = 9,180 : x
  2. Step 2: Convert to fraction form
    33,804/50,706.20 = 9,180/x
  3. Step 3: Cross multiply
    33,804x = 50,706.20 × 9,180
  4. Step 4: Simplify right side
    33,804x = 465,482,916
  5. Step 5: Solve for x
    x = 465,482,916/33,804
  6. Step 6: Final answer
    x = 13,770.05

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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.