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Finding the Fourth Proportional to 3,198.79, 4,798.32 and 1,119.01

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Solution

The fourth proportional to 3,198.79, 4,798.32 and 1,119.01 is: 1,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.79 : 4,798.32 = 1,119.01 : x
  2. Step 2: Convert to fraction form
    3,198.79/4,798.32 = 1,119.01/x
  3. Step 3: Cross multiply
    3,198.79x = 4,798.32 × 1,119.01
  4. Step 4: Simplify right side
    3,198.79x = 5,369,368.06
  5. Step 5: Solve for x
    x = 5,369,368.06/3,198.79
  6. Step 6: Final answer
    x = 1,678.56

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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.