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Finding the Fourth Proportional to 1,974.34, 2,961.61 and 878.72

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Solution

The fourth proportional to 1,974.34, 2,961.61 and 878.72 is: 1,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.34 : 2,961.61 = 878.72 : x
  2. Step 2: Convert to fraction form
    1,974.34/2,961.61 = 878.72/x
  3. Step 3: Cross multiply
    1,974.34x = 2,961.61 × 878.72
  4. Step 4: Simplify right side
    1,974.34x = 2,602,413.88
  5. Step 5: Solve for x
    x = 2,602,413.88/1,974.34
  6. Step 6: Final answer
    x = 1,318.12

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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.