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Finding the Fourth Proportional to 4,189, 6,274.53 and 2,208.37

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Solution

The fourth proportional to 4,189, 6,274.53 and 2,208.37 is: 3,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 6,274.53 = 2,208.37 : x
  2. Step 2: Convert to fraction form
    4,189/6,274.53 = 2,208.37/x
  3. Step 3: Cross multiply
    4,189x = 6,274.53 × 2,208.37
  4. Step 4: Simplify right side
    4,189x = 13,856,483.82
  5. Step 5: Solve for x
    x = 13,856,483.82/4,189
  6. Step 6: Final answer
    x = 3,307.83

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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.