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Finding the Fourth Proportional to 1,839.94, 2,761.13 and 866.12

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Solution

The fourth proportional to 1,839.94, 2,761.13 and 866.12 is: 1,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.94 : 2,761.13 = 866.12 : x
  2. Step 2: Convert to fraction form
    1,839.94/2,761.13 = 866.12/x
  3. Step 3: Cross multiply
    1,839.94x = 2,761.13 × 866.12
  4. Step 4: Simplify right side
    1,839.94x = 2,391,458.28
  5. Step 5: Solve for x
    x = 2,391,458.28/1,839.94
  6. Step 6: Final answer
    x = 1,299.75

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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.