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Finding the Fourth Proportional to 3,859.90, 5,801.18 and 3,205.98

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Solution

The fourth proportional to 3,859.90, 5,801.18 and 3,205.98 is: 4,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.90 : 5,801.18 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    3,859.90/5,801.18 = 3,205.98/x
  3. Step 3: Cross multiply
    3,859.90x = 5,801.18 × 3,205.98
  4. Step 4: Simplify right side
    3,859.90x = 18,598,467.06
  5. Step 5: Solve for x
    x = 18,598,467.06/3,859.90
  6. Step 6: Final answer
    x = 4,818.38

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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.