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Finding the Fourth Proportional to 33,780, 50,676.72 and 10,405.44

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Solution

The fourth proportional to 33,780, 50,676.72 and 10,405.44 is: 15,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,780 : 50,676.72 = 10,405.44 : x
  2. Step 2: Convert to fraction form
    33,780/50,676.72 = 10,405.44/x
  3. Step 3: Cross multiply
    33,780x = 50,676.72 × 10,405.44
  4. Step 4: Simplify right side
    33,780x = 527,313,569.36
  5. Step 5: Solve for x
    x = 527,313,569.36/33,780
  6. Step 6: Final answer
    x = 15,610.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.