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Finding the Fourth Proportional to 12,178.86, 18,270 and 3,858

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Solution

The fourth proportional to 12,178.86, 18,270 and 3,858 is: 5,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.86 : 18,270 = 3,858 : x
  2. Step 2: Convert to fraction form
    12,178.86/18,270 = 3,858/x
  3. Step 3: Cross multiply
    12,178.86x = 18,270 × 3,858
  4. Step 4: Simplify right side
    12,178.86x = 70,485,660
  5. Step 5: Solve for x
    x = 70,485,660/12,178.86
  6. Step 6: Final answer
    x = 5,787.54

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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.