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Finding the Fourth Proportional to 3,198.85, 4,799 and 977.89

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Solution

The fourth proportional to 3,198.85, 4,799 and 977.89 is: 1,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.85 : 4,799 = 977.89 : x
  2. Step 2: Convert to fraction form
    3,198.85/4,799 = 977.89/x
  3. Step 3: Cross multiply
    3,198.85x = 4,799 × 977.89
  4. Step 4: Simplify right side
    3,198.85x = 4,692,870.12
  5. Step 5: Solve for x
    x = 4,692,870.12/3,198.85
  6. Step 6: Final answer
    x = 1,467.05

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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.