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Finding the Fourth Proportional to 6,758.80, 10,138.16 and 1,828.96

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Solution

The fourth proportional to 6,758.80, 10,138.16 and 1,828.96 is: 2,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.80 : 10,138.16 = 1,828.96 : x
  2. Step 2: Convert to fraction form
    6,758.80/10,138.16 = 1,828.96/x
  3. Step 3: Cross multiply
    6,758.80x = 10,138.16 × 1,828.96
  4. Step 4: Simplify right side
    6,758.80x = 18,542,289.11
  5. Step 5: Solve for x
    x = 18,542,289.11/6,758.80
  6. Step 6: Final answer
    x = 2,743.43

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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.