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Finding the Fourth Proportional to 22,778.40, 34,172.40 and 7,197.60

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Solution

The fourth proportional to 22,778.40, 34,172.40 and 7,197.60 is: 10,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.40 : 34,172.40 = 7,197.60 : x
  2. Step 2: Convert to fraction form
    22,778.40/34,172.40 = 7,197.60/x
  3. Step 3: Cross multiply
    22,778.40x = 34,172.40 × 7,197.60
  4. Step 4: Simplify right side
    22,778.40x = 245,959,266.24
  5. Step 5: Solve for x
    x = 245,959,266.24/22,778.40
  6. Step 6: Final answer
    x = 10,797.92

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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.