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Finding the Fourth Proportional to 5,179.68, 7,770.74 and 1,481.81

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Solution

The fourth proportional to 5,179.68, 7,770.74 and 1,481.81 is: 2,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.68 : 7,770.74 = 1,481.81 : x
  2. Step 2: Convert to fraction form
    5,179.68/7,770.74 = 1,481.81/x
  3. Step 3: Cross multiply
    5,179.68x = 7,770.74 × 1,481.81
  4. Step 4: Simplify right side
    5,179.68x = 11,514,713.98
  5. Step 5: Solve for x
    x = 11,514,713.98/5,179.68
  6. Step 6: Final answer
    x = 2,223.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.