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Finding the Fourth Proportional to 7,879, 11,818.50 and 3,262.12

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Solution

The fourth proportional to 7,879, 11,818.50 and 3,262.12 is: 4,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879 : 11,818.50 = 3,262.12 : x
  2. Step 2: Convert to fraction form
    7,879/11,818.50 = 3,262.12/x
  3. Step 3: Cross multiply
    7,879x = 11,818.50 × 3,262.12
  4. Step 4: Simplify right side
    7,879x = 38,553,365.22
  5. Step 5: Solve for x
    x = 38,553,365.22/7,879
  6. Step 6: Final answer
    x = 4,893.18

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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.