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Finding the Fourth Proportional to 2,782.27, 3,830.79 and 2,361.79

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Solution

The fourth proportional to 2,782.27, 3,830.79 and 2,361.79 is: 3,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.27 : 3,830.79 = 2,361.79 : x
  2. Step 2: Convert to fraction form
    2,782.27/3,830.79 = 2,361.79/x
  3. Step 3: Cross multiply
    2,782.27x = 3,830.79 × 2,361.79
  4. Step 4: Simplify right side
    2,782.27x = 9,047,521.51
  5. Step 5: Solve for x
    x = 9,047,521.51/2,782.27
  6. Step 6: Final answer
    x = 3,251.85

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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.