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Finding the Fourth Proportional to 8,238, 12,361.73 and 8,171.13

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Solution

The fourth proportional to 8,238, 12,361.73 and 8,171.13 is: 12,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238 : 12,361.73 = 8,171.13 : x
  2. Step 2: Convert to fraction form
    8,238/12,361.73 = 8,171.13/x
  3. Step 3: Cross multiply
    8,238x = 12,361.73 × 8,171.13
  4. Step 4: Simplify right side
    8,238x = 101,009,302.85
  5. Step 5: Solve for x
    x = 101,009,302.85/8,238
  6. Step 6: Final answer
    x = 12,261.39

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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.