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Finding the Fourth Proportional to 7,163.64, 10,745.24 and 1,969.47

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Solution

The fourth proportional to 7,163.64, 10,745.24 and 1,969.47 is: 2,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.64 : 10,745.24 = 1,969.47 : x
  2. Step 2: Convert to fraction form
    7,163.64/10,745.24 = 1,969.47/x
  3. Step 3: Cross multiply
    7,163.64x = 10,745.24 × 1,969.47
  4. Step 4: Simplify right side
    7,163.64x = 21,162,417.98
  5. Step 5: Solve for x
    x = 21,162,417.98/7,163.64
  6. Step 6: Final answer
    x = 2,954.14

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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.