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Finding the Fourth Proportional to 12,185.17, 18,274.95 and 3,863.64

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Solution

The fourth proportional to 12,185.17, 18,274.95 and 3,863.64 is: 5,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.17 : 18,274.95 = 3,863.64 : x
  2. Step 2: Convert to fraction form
    12,185.17/18,274.95 = 3,863.64/x
  3. Step 3: Cross multiply
    12,185.17x = 18,274.95 × 3,863.64
  4. Step 4: Simplify right side
    12,185.17x = 70,607,827.82
  5. Step 5: Solve for x
    x = 70,607,827.82/12,185.17
  6. Step 6: Final answer
    x = 5,794.57

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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.