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Finding the Fourth Proportional to 7,163.67, 10,745.84 and 1,969.55

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Solution

The fourth proportional to 7,163.67, 10,745.84 and 1,969.55 is: 2,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.67 : 10,745.84 = 1,969.55 : x
  2. Step 2: Convert to fraction form
    7,163.67/10,745.84 = 1,969.55/x
  3. Step 3: Cross multiply
    7,163.67x = 10,745.84 × 1,969.55
  4. Step 4: Simplify right side
    7,163.67x = 21,164,405.60
  5. Step 5: Solve for x
    x = 21,164,405.60/7,163.67
  6. Step 6: Final answer
    x = 2,954.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.