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Finding the Fourth Proportional to 7,896, 11,837.76 and 2,965.09

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Solution

The fourth proportional to 7,896, 11,837.76 and 2,965.09 is: 4,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896 : 11,837.76 = 2,965.09 : x
  2. Step 2: Convert to fraction form
    7,896/11,837.76 = 2,965.09/x
  3. Step 3: Cross multiply
    7,896x = 11,837.76 × 2,965.09
  4. Step 4: Simplify right side
    7,896x = 35,100,023.80
  5. Step 5: Solve for x
    x = 35,100,023.80/7,896
  6. Step 6: Final answer
    x = 4,445.29

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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.