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Finding the Fourth Proportional to 2,008.05, 2,770.98 and 1,123.83

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Solution

The fourth proportional to 2,008.05, 2,770.98 and 1,123.83 is: 1,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.05 : 2,770.98 = 1,123.83 : x
  2. Step 2: Convert to fraction form
    2,008.05/2,770.98 = 1,123.83/x
  3. Step 3: Cross multiply
    2,008.05x = 2,770.98 × 1,123.83
  4. Step 4: Simplify right side
    2,008.05x = 3,114,110.45
  5. Step 5: Solve for x
    x = 3,114,110.45/2,008.05
  6. Step 6: Final answer
    x = 1,550.81

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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.