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Finding the Fourth Proportional to 12,112, 18,170.88 and 3,904

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Solution

The fourth proportional to 12,112, 18,170.88 and 3,904 is: 5,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112 : 18,170.88 = 3,904 : x
  2. Step 2: Convert to fraction form
    12,112/18,170.88 = 3,904/x
  3. Step 3: Cross multiply
    12,112x = 18,170.88 × 3,904
  4. Step 4: Simplify right side
    12,112x = 70,939,115.52
  5. Step 5: Solve for x
    x = 70,939,115.52/12,112
  6. Step 6: Final answer
    x = 5,856.93

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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.