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Finding the Fourth Proportional to 2,084.38, 3,127.41 and 786.22

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Solution

The fourth proportional to 2,084.38, 3,127.41 and 786.22 is: 1,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.38 : 3,127.41 = 786.22 : x
  2. Step 2: Convert to fraction form
    2,084.38/3,127.41 = 786.22/x
  3. Step 3: Cross multiply
    2,084.38x = 3,127.41 × 786.22
  4. Step 4: Simplify right side
    2,084.38x = 2,458,832.29
  5. Step 5: Solve for x
    x = 2,458,832.29/2,084.38
  6. Step 6: Final answer
    x = 1,179.65

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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.