Home / 7,826.76-11,740.19-1,983.39

Finding the Fourth Proportional to 7,826.76, 11,740.19 and 1,983.39

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Solution

The fourth proportional to 7,826.76, 11,740.19 and 1,983.39 is: 2,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.76 : 11,740.19 = 1,983.39 : x
  2. Step 2: Convert to fraction form
    7,826.76/11,740.19 = 1,983.39/x
  3. Step 3: Cross multiply
    7,826.76x = 11,740.19 × 1,983.39
  4. Step 4: Simplify right side
    7,826.76x = 23,285,375.44
  5. Step 5: Solve for x
    x = 23,285,375.44/7,826.76
  6. Step 6: Final answer
    x = 2,975.10

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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.