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Finding the Fourth Proportional to 2,662.77, 3,991.47 and 1,100.62

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Solution

The fourth proportional to 2,662.77, 3,991.47 and 1,100.62 is: 1,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.77 : 3,991.47 = 1,100.62 : x
  2. Step 2: Convert to fraction form
    2,662.77/3,991.47 = 1,100.62/x
  3. Step 3: Cross multiply
    2,662.77x = 3,991.47 × 1,100.62
  4. Step 4: Simplify right side
    2,662.77x = 4,393,095.67
  5. Step 5: Solve for x
    x = 4,393,095.67/2,662.77
  6. Step 6: Final answer
    x = 1,649.82

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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.