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Finding the Fourth Proportional to 2,615.24, 3,923.22 and 884.12

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Solution

The fourth proportional to 2,615.24, 3,923.22 and 884.12 is: 1,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.24 : 3,923.22 = 884.12 : x
  2. Step 2: Convert to fraction form
    2,615.24/3,923.22 = 884.12/x
  3. Step 3: Cross multiply
    2,615.24x = 3,923.22 × 884.12
  4. Step 4: Simplify right side
    2,615.24x = 3,468,597.27
  5. Step 5: Solve for x
    x = 3,468,597.27/2,615.24
  6. Step 6: Final answer
    x = 1,326.30

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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.