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Finding the Fourth Proportional to 7,886, 11,829 and 2,414

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Solution

The fourth proportional to 7,886, 11,829 and 2,414 is: 3,621

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886 : 11,829 = 2,414 : x
  2. Step 2: Convert to fraction form
    7,886/11,829 = 2,414/x
  3. Step 3: Cross multiply
    7,886x = 11,829 × 2,414
  4. Step 4: Simplify right side
    7,886x = 28,555,206
  5. Step 5: Solve for x
    x = 28,555,206/7,886
  6. Step 6: Final answer
    x = 3,621

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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.