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Finding the Fourth Proportional to 2,662.78, 3,992.44 and 1,102.36

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Solution

The fourth proportional to 2,662.78, 3,992.44 and 1,102.36 is: 1,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.78 : 3,992.44 = 1,102.36 : x
  2. Step 2: Convert to fraction form
    2,662.78/3,992.44 = 1,102.36/x
  3. Step 3: Cross multiply
    2,662.78x = 3,992.44 × 1,102.36
  4. Step 4: Simplify right side
    2,662.78x = 4,401,106.16
  5. Step 5: Solve for x
    x = 4,401,106.16/2,662.78
  6. Step 6: Final answer
    x = 1,652.82

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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.