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Finding the Fourth Proportional to 3,163.76, 4,745.63 and 823.75

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Solution

The fourth proportional to 3,163.76, 4,745.63 and 823.75 is: 1,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.76 : 4,745.63 = 823.75 : x
  2. Step 2: Convert to fraction form
    3,163.76/4,745.63 = 823.75/x
  3. Step 3: Cross multiply
    3,163.76x = 4,745.63 × 823.75
  4. Step 4: Simplify right side
    3,163.76x = 3,909,235.84
  5. Step 5: Solve for x
    x = 3,909,235.84/3,163.76
  6. Step 6: Final answer
    x = 1,235.63

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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.