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Finding the Fourth Proportional to 2,633.97, 3,951.56 and 878.84

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Solution

The fourth proportional to 2,633.97, 3,951.56 and 878.84 is: 1,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.97 : 3,951.56 = 878.84 : x
  2. Step 2: Convert to fraction form
    2,633.97/3,951.56 = 878.84/x
  3. Step 3: Cross multiply
    2,633.97x = 3,951.56 × 878.84
  4. Step 4: Simplify right side
    2,633.97x = 3,472,764.84
  5. Step 5: Solve for x
    x = 3,472,764.84/2,633.97
  6. Step 6: Final answer
    x = 1,318.45

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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.