Home / 8,206.24-12,315.84-3,821.44

Finding the Fourth Proportional to 8,206.24, 12,315.84 and 3,821.44

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Solution

The fourth proportional to 8,206.24, 12,315.84 and 3,821.44 is: 5,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.24 : 12,315.84 = 3,821.44 : x
  2. Step 2: Convert to fraction form
    8,206.24/12,315.84 = 3,821.44/x
  3. Step 3: Cross multiply
    8,206.24x = 12,315.84 × 3,821.44
  4. Step 4: Simplify right side
    8,206.24x = 47,064,243.61
  5. Step 5: Solve for x
    x = 47,064,243.61/8,206.24
  6. Step 6: Final answer
    x = 5,735.18

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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.