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Finding the Fourth Proportional to 33,438.31, 50,157.65 and 8,478.41

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Solution

The fourth proportional to 33,438.31, 50,157.65 and 8,478.41 is: 12,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438.31 : 50,157.65 = 8,478.41 : x
  2. Step 2: Convert to fraction form
    33,438.31/50,157.65 = 8,478.41/x
  3. Step 3: Cross multiply
    33,438.31x = 50,157.65 × 8,478.41
  4. Step 4: Simplify right side
    33,438.31x = 425,256,995.94
  5. Step 5: Solve for x
    x = 425,256,995.94/33,438.31
  6. Step 6: Final answer
    x = 12,717.66

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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.