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Finding the Fourth Proportional to 5,231.80, 7,833.30 and 4,079.80

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Solution

The fourth proportional to 5,231.80, 7,833.30 and 4,079.80 is: 6,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.80 : 7,833.30 = 4,079.80 : x
  2. Step 2: Convert to fraction form
    5,231.80/7,833.30 = 4,079.80/x
  3. Step 3: Cross multiply
    5,231.80x = 7,833.30 × 4,079.80
  4. Step 4: Simplify right side
    5,231.80x = 31,958,297.34
  5. Step 5: Solve for x
    x = 31,958,297.34/5,231.80
  6. Step 6: Final answer
    x = 6,108.47

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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.