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Finding the Fourth Proportional to 5,197.73, 7,172.87 and 3,708.23

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Solution

The fourth proportional to 5,197.73, 7,172.87 and 3,708.23 is: 5,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.73 : 7,172.87 = 3,708.23 : x
  2. Step 2: Convert to fraction form
    5,197.73/7,172.87 = 3,708.23/x
  3. Step 3: Cross multiply
    5,197.73x = 7,172.87 × 3,708.23
  4. Step 4: Simplify right side
    5,197.73x = 26,598,597.31
  5. Step 5: Solve for x
    x = 26,598,597.31/5,197.73
  6. Step 6: Final answer
    x = 5,117.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.