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Finding the Fourth Proportional to 3,698, 5,103.16 and 2,207.60

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Solution

The fourth proportional to 3,698, 5,103.16 and 2,207.60 is: 3,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698 : 5,103.16 = 2,207.60 : x
  2. Step 2: Convert to fraction form
    3,698/5,103.16 = 2,207.60/x
  3. Step 3: Cross multiply
    3,698x = 5,103.16 × 2,207.60
  4. Step 4: Simplify right side
    3,698x = 11,265,736.02
  5. Step 5: Solve for x
    x = 11,265,736.02/3,698
  6. Step 6: Final answer
    x = 3,046.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.