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Finding the Fourth Proportional to 11,394, 17,093.88 and 3,186

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Solution

The fourth proportional to 11,394, 17,093.88 and 3,186 is: 4,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394 : 17,093.88 = 3,186 : x
  2. Step 2: Convert to fraction form
    11,394/17,093.88 = 3,186/x
  3. Step 3: Cross multiply
    11,394x = 17,093.88 × 3,186
  4. Step 4: Simplify right side
    11,394x = 54,461,101.68
  5. Step 5: Solve for x
    x = 54,461,101.68/11,394
  6. Step 6: Final answer
    x = 4,779.81

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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.