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Finding the Fourth Proportional to 2,639.54, 3,959.76 and 996.32

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Solution

The fourth proportional to 2,639.54, 3,959.76 and 996.32 is: 1,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.54 : 3,959.76 = 996.32 : x
  2. Step 2: Convert to fraction form
    2,639.54/3,959.76 = 996.32/x
  3. Step 3: Cross multiply
    2,639.54x = 3,959.76 × 996.32
  4. Step 4: Simplify right side
    2,639.54x = 3,945,188.08
  5. Step 5: Solve for x
    x = 3,945,188.08/2,639.54
  6. Step 6: Final answer
    x = 1,494.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.