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Finding the Fourth Proportional to 13,650.46, 20,480.69 and 5,754.96

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Solution

The fourth proportional to 13,650.46, 20,480.69 and 5,754.96 is: 8,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.46 : 20,480.69 = 5,754.96 : x
  2. Step 2: Convert to fraction form
    13,650.46/20,480.69 = 5,754.96/x
  3. Step 3: Cross multiply
    13,650.46x = 20,480.69 × 5,754.96
  4. Step 4: Simplify right side
    13,650.46x = 117,865,551.72
  5. Step 5: Solve for x
    x = 117,865,551.72/13,650.46
  6. Step 6: Final answer
    x = 8,634.55

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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.