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Finding the Fourth Proportional to 13,817.68, 20,728.58 and 4,454.62

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Solution

The fourth proportional to 13,817.68, 20,728.58 and 4,454.62 is: 6,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.68 : 20,728.58 = 4,454.62 : x
  2. Step 2: Convert to fraction form
    13,817.68/20,728.58 = 4,454.62/x
  3. Step 3: Cross multiply
    13,817.68x = 20,728.58 × 4,454.62
  4. Step 4: Simplify right side
    13,817.68x = 92,337,872.95
  5. Step 5: Solve for x
    x = 92,337,872.95/13,817.68
  6. Step 6: Final answer
    x = 6,682.59

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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.