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Finding the Fourth Proportional to 7,105.51, 9,805.62 and 3,961.90

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Solution

The fourth proportional to 7,105.51, 9,805.62 and 3,961.90 is: 5,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.51 : 9,805.62 = 3,961.90 : x
  2. Step 2: Convert to fraction form
    7,105.51/9,805.62 = 3,961.90/x
  3. Step 3: Cross multiply
    7,105.51x = 9,805.62 × 3,961.90
  4. Step 4: Simplify right side
    7,105.51x = 38,848,885.88
  5. Step 5: Solve for x
    x = 38,848,885.88/7,105.51
  6. Step 6: Final answer
    x = 5,467.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.