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Finding the Fourth Proportional to 3,120.44, 4,679.28 and 1,659.28

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Solution

The fourth proportional to 3,120.44, 4,679.28 and 1,659.28 is: 2,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.44 : 4,679.28 = 1,659.28 : x
  2. Step 2: Convert to fraction form
    3,120.44/4,679.28 = 1,659.28/x
  3. Step 3: Cross multiply
    3,120.44x = 4,679.28 × 1,659.28
  4. Step 4: Simplify right side
    3,120.44x = 7,764,235.72
  5. Step 5: Solve for x
    x = 7,764,235.72/3,120.44
  6. Step 6: Final answer
    x = 2,488.19

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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.