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Finding the Fourth Proportional to 3,174.38, 4,761.78 and 982.82

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Solution

The fourth proportional to 3,174.38, 4,761.78 and 982.82 is: 1,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.38 : 4,761.78 = 982.82 : x
  2. Step 2: Convert to fraction form
    3,174.38/4,761.78 = 982.82/x
  3. Step 3: Cross multiply
    3,174.38x = 4,761.78 × 982.82
  4. Step 4: Simplify right side
    3,174.38x = 4,679,948.81
  5. Step 5: Solve for x
    x = 4,679,948.81/3,174.38
  6. Step 6: Final answer
    x = 1,474.29

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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.