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Finding the Fourth Proportional to 13,765.46, 18,993.09 and 7,795.88

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Solution

The fourth proportional to 13,765.46, 18,993.09 and 7,795.88 is: 10,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.46 : 18,993.09 = 7,795.88 : x
  2. Step 2: Convert to fraction form
    13,765.46/18,993.09 = 7,795.88/x
  3. Step 3: Cross multiply
    13,765.46x = 18,993.09 × 7,795.88
  4. Step 4: Simplify right side
    13,765.46x = 148,067,850.47
  5. Step 5: Solve for x
    x = 148,067,850.47/13,765.46
  6. Step 6: Final answer
    x = 10,756.48

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Why These Related Problems?

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