Home / 7,829.87-11,743.61-2,564.87

Finding the Fourth Proportional to 7,829.87, 11,743.61 and 2,564.87

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Solution

The fourth proportional to 7,829.87, 11,743.61 and 2,564.87 is: 3,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.87 : 11,743.61 = 2,564.87 : x
  2. Step 2: Convert to fraction form
    7,829.87/11,743.61 = 2,564.87/x
  3. Step 3: Cross multiply
    7,829.87x = 11,743.61 × 2,564.87
  4. Step 4: Simplify right side
    7,829.87x = 30,120,761.44
  5. Step 5: Solve for x
    x = 30,120,761.44/7,829.87
  6. Step 6: Final answer
    x = 3,846.91

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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.