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Finding the Fourth Proportional to 8,114.82, 12,174.72 and 3,954.23

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Solution

The fourth proportional to 8,114.82, 12,174.72 and 3,954.23 is: 5,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.82 : 12,174.72 = 3,954.23 : x
  2. Step 2: Convert to fraction form
    8,114.82/12,174.72 = 3,954.23/x
  3. Step 3: Cross multiply
    8,114.82x = 12,174.72 × 3,954.23
  4. Step 4: Simplify right side
    8,114.82x = 48,141,681.50
  5. Step 5: Solve for x
    x = 48,141,681.50/8,114.82
  6. Step 6: Final answer
    x = 5,932.56

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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.