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Finding the Fourth Proportional to 33,812.64, 50,713.20 and 10,432.80

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Solution

The fourth proportional to 33,812.64, 50,713.20 and 10,432.80 is: 15,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812.64 : 50,713.20 = 10,432.80 : x
  2. Step 2: Convert to fraction form
    33,812.64/50,713.20 = 10,432.80/x
  3. Step 3: Cross multiply
    33,812.64x = 50,713.20 × 10,432.80
  4. Step 4: Simplify right side
    33,812.64x = 529,080,672.96
  5. Step 5: Solve for x
    x = 529,080,672.96/33,812.64
  6. Step 6: Final answer
    x = 15,647.42

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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.