Home / 3,174.25-4,761.56-982.81

Finding the Fourth Proportional to 3,174.25, 4,761.56 and 982.81

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Solution

The fourth proportional to 3,174.25, 4,761.56 and 982.81 is: 1,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.25 : 4,761.56 = 982.81 : x
  2. Step 2: Convert to fraction form
    3,174.25/4,761.56 = 982.81/x
  3. Step 3: Cross multiply
    3,174.25x = 4,761.56 × 982.81
  4. Step 4: Simplify right side
    3,174.25x = 4,679,703.87
  5. Step 5: Solve for x
    x = 4,679,703.87/3,174.25
  6. Step 6: Final answer
    x = 1,474.27

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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.