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Finding the Fourth Proportional to 3,198.74, 4,798.53 and 1,553.90

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Solution

The fourth proportional to 3,198.74, 4,798.53 and 1,553.90 is: 2,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.74 : 4,798.53 = 1,553.90 : x
  2. Step 2: Convert to fraction form
    3,198.74/4,798.53 = 1,553.90/x
  3. Step 3: Cross multiply
    3,198.74x = 4,798.53 × 1,553.90
  4. Step 4: Simplify right side
    3,198.74x = 7,456,411.77
  5. Step 5: Solve for x
    x = 7,456,411.77/3,198.74
  6. Step 6: Final answer
    x = 2,331.05

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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.