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Finding the Fourth Proportional to 2,338.18, 3,509.00 and 1,105.97

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Solution

The fourth proportional to 2,338.18, 3,509.00 and 1,105.97 is: 1,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.18 : 3,509.00 = 1,105.97 : x
  2. Step 2: Convert to fraction form
    2,338.18/3,509.00 = 1,105.97/x
  3. Step 3: Cross multiply
    2,338.18x = 3,509.00 × 1,105.97
  4. Step 4: Simplify right side
    2,338.18x = 3,880,833.95
  5. Step 5: Solve for x
    x = 3,880,833.95/2,338.18
  6. Step 6: Final answer
    x = 1,659.77

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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.