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Finding the Fourth Proportional to 2,772.62, 3,824.37 and 2,015.13

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Solution

The fourth proportional to 2,772.62, 3,824.37 and 2,015.13 is: 2,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.62 : 3,824.37 = 2,015.13 : x
  2. Step 2: Convert to fraction form
    2,772.62/3,824.37 = 2,015.13/x
  3. Step 3: Cross multiply
    2,772.62x = 3,824.37 × 2,015.13
  4. Step 4: Simplify right side
    2,772.62x = 7,706,602.72
  5. Step 5: Solve for x
    x = 7,706,602.72/2,772.62
  6. Step 6: Final answer
    x = 2,779.54

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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.