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Finding the Fourth Proportional to 3,163.19, 4,745.07 and 1,929.98

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Solution

The fourth proportional to 3,163.19, 4,745.07 and 1,929.98 is: 2,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.19 : 4,745.07 = 1,929.98 : x
  2. Step 2: Convert to fraction form
    3,163.19/4,745.07 = 1,929.98/x
  3. Step 3: Cross multiply
    3,163.19x = 4,745.07 × 1,929.98
  4. Step 4: Simplify right side
    3,163.19x = 9,157,890.20
  5. Step 5: Solve for x
    x = 9,157,890.20/3,163.19
  6. Step 6: Final answer
    x = 2,895.14

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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.