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Finding the Fourth Proportional to 12,264.81, 18,393.28 and 3,942.81

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Solution

The fourth proportional to 12,264.81, 18,393.28 and 3,942.81 is: 5,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.81 : 18,393.28 = 3,942.81 : x
  2. Step 2: Convert to fraction form
    12,264.81/18,393.28 = 3,942.81/x
  3. Step 3: Cross multiply
    12,264.81x = 18,393.28 × 3,942.81
  4. Step 4: Simplify right side
    12,264.81x = 72,521,208.32
  5. Step 5: Solve for x
    x = 72,521,208.32/12,264.81
  6. Step 6: Final answer
    x = 5,912.95

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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.