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Finding the Fourth Proportional to 5,172.67, 7,759.46 and 1,474.81

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Solution

The fourth proportional to 5,172.67, 7,759.46 and 1,474.81 is: 2,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.67 : 7,759.46 = 1,474.81 : x
  2. Step 2: Convert to fraction form
    5,172.67/7,759.46 = 1,474.81/x
  3. Step 3: Cross multiply
    5,172.67x = 7,759.46 × 1,474.81
  4. Step 4: Simplify right side
    5,172.67x = 11,443,729.20
  5. Step 5: Solve for x
    x = 11,443,729.20/5,172.67
  6. Step 6: Final answer
    x = 2,212.34

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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.