Home / 3,174.31-4,761.92-983.21

Finding the Fourth Proportional to 3,174.31, 4,761.92 and 983.21

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Solution

The fourth proportional to 3,174.31, 4,761.92 and 983.21 is: 1,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.31 : 4,761.92 = 983.21 : x
  2. Step 2: Convert to fraction form
    3,174.31/4,761.92 = 983.21/x
  3. Step 3: Cross multiply
    3,174.31x = 4,761.92 × 983.21
  4. Step 4: Simplify right side
    3,174.31x = 4,681,967.36
  5. Step 5: Solve for x
    x = 4,681,967.36/3,174.31
  6. Step 6: Final answer
    x = 1,474.96

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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.