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Finding the Fourth Proportional to 11,886, 17,829 and 3,678

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Solution

The fourth proportional to 11,886, 17,829 and 3,678 is: 5,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886 : 17,829 = 3,678 : x
  2. Step 2: Convert to fraction form
    11,886/17,829 = 3,678/x
  3. Step 3: Cross multiply
    11,886x = 17,829 × 3,678
  4. Step 4: Simplify right side
    11,886x = 65,575,062
  5. Step 5: Solve for x
    x = 65,575,062/11,886
  6. Step 6: Final answer
    x = 5,517

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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.