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Finding the Fourth Proportional to 11,381, 17,071.68 and 3,173

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Solution

The fourth proportional to 11,381, 17,071.68 and 3,173 is: 4,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381 : 17,071.68 = 3,173 : x
  2. Step 2: Convert to fraction form
    11,381/17,071.68 = 3,173/x
  3. Step 3: Cross multiply
    11,381x = 17,071.68 × 3,173
  4. Step 4: Simplify right side
    11,381x = 54,168,440.64
  5. Step 5: Solve for x
    x = 54,168,440.64/11,381
  6. Step 6: Final answer
    x = 4,759.55

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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.