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Finding the Fourth Proportional to 3,506.50, 5,259.75 and 1,198

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Solution

The fourth proportional to 3,506.50, 5,259.75 and 1,198 is: 1,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.50 : 5,259.75 = 1,198 : x
  2. Step 2: Convert to fraction form
    3,506.50/5,259.75 = 1,198/x
  3. Step 3: Cross multiply
    3,506.50x = 5,259.75 × 1,198
  4. Step 4: Simplify right side
    3,506.50x = 6,301,180.50
  5. Step 5: Solve for x
    x = 6,301,180.50/3,506.50
  6. Step 6: Final answer
    x = 1,797

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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.