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Finding the Fourth Proportional to 11,958.64, 17,938 and 4,162

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Solution

The fourth proportional to 11,958.64, 17,938 and 4,162 is: 6,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.64 : 17,938 = 4,162 : x
  2. Step 2: Convert to fraction form
    11,958.64/17,938 = 4,162/x
  3. Step 3: Cross multiply
    11,958.64x = 17,938 × 4,162
  4. Step 4: Simplify right side
    11,958.64x = 74,657,956
  5. Step 5: Solve for x
    x = 74,657,956/11,958.64
  6. Step 6: Final answer
    x = 6,243.01

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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.