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Finding the Fourth Proportional to 2,619.76, 3,928.80 and 864.43

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Solution

The fourth proportional to 2,619.76, 3,928.80 and 864.43 is: 1,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.76 : 3,928.80 = 864.43 : x
  2. Step 2: Convert to fraction form
    2,619.76/3,928.80 = 864.43/x
  3. Step 3: Cross multiply
    2,619.76x = 3,928.80 × 864.43
  4. Step 4: Simplify right side
    2,619.76x = 3,396,187.60
  5. Step 5: Solve for x
    x = 3,396,187.60/2,619.76
  6. Step 6: Final answer
    x = 1,296.37

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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.