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Finding the Fourth Proportional to 2,651.73, 3,976.32 and 985.32

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Solution

The fourth proportional to 2,651.73, 3,976.32 and 985.32 is: 1,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.73 : 3,976.32 = 985.32 : x
  2. Step 2: Convert to fraction form
    2,651.73/3,976.32 = 985.32/x
  3. Step 3: Cross multiply
    2,651.73x = 3,976.32 × 985.32
  4. Step 4: Simplify right side
    2,651.73x = 3,917,947.62
  5. Step 5: Solve for x
    x = 3,917,947.62/2,651.73
  6. Step 6: Final answer
    x = 1,477.51

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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.