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Finding the Fourth Proportional to 3,388.66, 5,085.24 and 1,197.40

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Solution

The fourth proportional to 3,388.66, 5,085.24 and 1,197.40 is: 1,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.66 : 5,085.24 = 1,197.40 : x
  2. Step 2: Convert to fraction form
    3,388.66/5,085.24 = 1,197.40/x
  3. Step 3: Cross multiply
    3,388.66x = 5,085.24 × 1,197.40
  4. Step 4: Simplify right side
    3,388.66x = 6,089,066.38
  5. Step 5: Solve for x
    x = 6,089,066.38/3,388.66
  6. Step 6: Final answer
    x = 1,796.90

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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.