Home / 8,200.32-12,309.03-3,822

Finding the Fourth Proportional to 8,200.32, 12,309.03 and 3,822

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Solution

The fourth proportional to 8,200.32, 12,309.03 and 3,822 is: 5,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.32 : 12,309.03 = 3,822 : x
  2. Step 2: Convert to fraction form
    8,200.32/12,309.03 = 3,822/x
  3. Step 3: Cross multiply
    8,200.32x = 12,309.03 × 3,822
  4. Step 4: Simplify right side
    8,200.32x = 47,045,112.66
  5. Step 5: Solve for x
    x = 47,045,112.66/8,200.32
  6. Step 6: Final answer
    x = 5,736.98

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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.