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Finding the Fourth Proportional to 5,172.53, 7,760.01 and 1,474.81

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Solution

The fourth proportional to 5,172.53, 7,760.01 and 1,474.81 is: 2,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.53 : 7,760.01 = 1,474.81 : x
  2. Step 2: Convert to fraction form
    5,172.53/7,760.01 = 1,474.81/x
  3. Step 3: Cross multiply
    5,172.53x = 7,760.01 × 1,474.81
  4. Step 4: Simplify right side
    5,172.53x = 11,444,540.35
  5. Step 5: Solve for x
    x = 11,444,540.35/5,172.53
  6. Step 6: Final answer
    x = 2,212.56

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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.