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Finding the Fourth Proportional to 3,198.66, 4,798.59 and 1,006.80

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Solution

The fourth proportional to 3,198.66, 4,798.59 and 1,006.80 is: 1,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.66 : 4,798.59 = 1,006.80 : x
  2. Step 2: Convert to fraction form
    3,198.66/4,798.59 = 1,006.80/x
  3. Step 3: Cross multiply
    3,198.66x = 4,798.59 × 1,006.80
  4. Step 4: Simplify right side
    3,198.66x = 4,831,220.41
  5. Step 5: Solve for x
    x = 4,831,220.41/3,198.66
  6. Step 6: Final answer
    x = 1,510.39

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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.