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Finding the Fourth Proportional to 2,634.15, 3,951.73 and 785.22

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Solution

The fourth proportional to 2,634.15, 3,951.73 and 785.22 is: 1,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.15 : 3,951.73 = 785.22 : x
  2. Step 2: Convert to fraction form
    2,634.15/3,951.73 = 785.22/x
  3. Step 3: Cross multiply
    2,634.15x = 3,951.73 × 785.22
  4. Step 4: Simplify right side
    2,634.15x = 3,102,974.16
  5. Step 5: Solve for x
    x = 3,102,974.16/2,634.15
  6. Step 6: Final answer
    x = 1,177.98

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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.