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Finding the Fourth Proportional to 7,876, 11,814 and 3,259.12

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Solution

The fourth proportional to 7,876, 11,814 and 3,259.12 is: 4,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876 : 11,814 = 3,259.12 : x
  2. Step 2: Convert to fraction form
    7,876/11,814 = 3,259.12/x
  3. Step 3: Cross multiply
    7,876x = 11,814 × 3,259.12
  4. Step 4: Simplify right side
    7,876x = 38,503,243.68
  5. Step 5: Solve for x
    x = 38,503,243.68/7,876
  6. Step 6: Final answer
    x = 4,888.68

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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.