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Finding the Fourth Proportional to 5,138.67, 7,697.65 and 2,361.48

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Solution

The fourth proportional to 5,138.67, 7,697.65 and 2,361.48 is: 3,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.67 : 7,697.65 = 2,361.48 : x
  2. Step 2: Convert to fraction form
    5,138.67/7,697.65 = 2,361.48/x
  3. Step 3: Cross multiply
    5,138.67x = 7,697.65 × 2,361.48
  4. Step 4: Simplify right side
    5,138.67x = 18,177,852.43
  5. Step 5: Solve for x
    x = 18,177,852.43/5,138.67
  6. Step 6: Final answer
    x = 3,537.47

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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.