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Finding the Fourth Proportional to 7,826.44, 10,800.49 and 4,289.73

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Solution

The fourth proportional to 7,826.44, 10,800.49 and 4,289.73 is: 5,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.44 : 10,800.49 = 4,289.73 : x
  2. Step 2: Convert to fraction form
    7,826.44/10,800.49 = 4,289.73/x
  3. Step 3: Cross multiply
    7,826.44x = 10,800.49 × 4,289.73
  4. Step 4: Simplify right side
    7,826.44x = 46,331,175.24
  5. Step 5: Solve for x
    x = 46,331,175.24/7,826.44
  6. Step 6: Final answer
    x = 5,919.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.