Home / 8,206.26-12,311.40-3,822.80

Finding the Fourth Proportional to 8,206.26, 12,311.40 and 3,822.80

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Solution

The fourth proportional to 8,206.26, 12,311.40 and 3,822.80 is: 5,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.26 : 12,311.40 = 3,822.80 : x
  2. Step 2: Convert to fraction form
    8,206.26/12,311.40 = 3,822.80/x
  3. Step 3: Cross multiply
    8,206.26x = 12,311.40 × 3,822.80
  4. Step 4: Simplify right side
    8,206.26x = 47,064,019.92
  5. Step 5: Solve for x
    x = 47,064,019.92/8,206.26
  6. Step 6: Final answer
    x = 5,735.14

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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.