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Finding the Fourth Proportional to 7,919.01, 11,881.97 and 3,761.96

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Solution

The fourth proportional to 7,919.01, 11,881.97 and 3,761.96 is: 5,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.01 : 11,881.97 = 3,761.96 : x
  2. Step 2: Convert to fraction form
    7,919.01/11,881.97 = 3,761.96/x
  3. Step 3: Cross multiply
    7,919.01x = 11,881.97 × 3,761.96
  4. Step 4: Simplify right side
    7,919.01x = 44,699,417.64
  5. Step 5: Solve for x
    x = 44,699,417.64/7,919.01
  6. Step 6: Final answer
    x = 5,644.57

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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.