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Finding the Fourth Proportional to 5,172.04, 7,756.80 and 1,474.60

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Solution

The fourth proportional to 5,172.04, 7,756.80 and 1,474.60 is: 2,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.04 : 7,756.80 = 1,474.60 : x
  2. Step 2: Convert to fraction form
    5,172.04/7,756.80 = 1,474.60/x
  3. Step 3: Cross multiply
    5,172.04x = 7,756.80 × 1,474.60
  4. Step 4: Simplify right side
    5,172.04x = 11,438,177.28
  5. Step 5: Solve for x
    x = 11,438,177.28/5,172.04
  6. Step 6: Final answer
    x = 2,211.54

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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.