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Finding the Fourth Proportional to 13,763.22, 18,993.59 and 7,794.80

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Solution

The fourth proportional to 13,763.22, 18,993.59 and 7,794.80 is: 10,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.22 : 18,993.59 = 7,794.80 : x
  2. Step 2: Convert to fraction form
    13,763.22/18,993.59 = 7,794.80/x
  3. Step 3: Cross multiply
    13,763.22x = 18,993.59 × 7,794.80
  4. Step 4: Simplify right side
    13,763.22x = 148,051,254.82
  5. Step 5: Solve for x
    x = 148,051,254.82/13,763.22
  6. Step 6: Final answer
    x = 10,757.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.