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Finding the Fourth Proportional to 13,823.89, 20,735.84 and 4,589.89

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Solution

The fourth proportional to 13,823.89, 20,735.84 and 4,589.89 is: 6,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.89 : 20,735.84 = 4,589.89 : x
  2. Step 2: Convert to fraction form
    13,823.89/20,735.84 = 4,589.89/x
  3. Step 3: Cross multiply
    13,823.89x = 20,735.84 × 4,589.89
  4. Step 4: Simplify right side
    13,823.89x = 95,175,201.71
  5. Step 5: Solve for x
    x = 95,175,201.71/13,823.89
  6. Step 6: Final answer
    x = 6,884.84

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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.