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Finding the Fourth Proportional to 1,338, 2,006.19 and 1,176

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Solution

The fourth proportional to 1,338, 2,006.19 and 1,176 is: 1,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338 : 2,006.19 = 1,176 : x
  2. Step 2: Convert to fraction form
    1,338/2,006.19 = 1,176/x
  3. Step 3: Cross multiply
    1,338x = 2,006.19 × 1,176
  4. Step 4: Simplify right side
    1,338x = 2,359,279.44
  5. Step 5: Solve for x
    x = 2,359,279.44/1,338
  6. Step 6: Final answer
    x = 1,763.29

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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.