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Finding the Fourth Proportional to 13,858.12, 20,791.62 and 4,967.46

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Solution

The fourth proportional to 13,858.12, 20,791.62 and 4,967.46 is: 7,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.12 : 20,791.62 = 4,967.46 : x
  2. Step 2: Convert to fraction form
    13,858.12/20,791.62 = 4,967.46/x
  3. Step 3: Cross multiply
    13,858.12x = 20,791.62 × 4,967.46
  4. Step 4: Simplify right side
    13,858.12x = 103,281,540.69
  5. Step 5: Solve for x
    x = 103,281,540.69/13,858.12
  6. Step 6: Final answer
    x = 7,452.78

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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.