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Finding the Fourth Proportional to 4,137, 5,709.46 and 2,274.36

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Solution

The fourth proportional to 4,137, 5,709.46 and 2,274.36 is: 3,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137 : 5,709.46 = 2,274.36 : x
  2. Step 2: Convert to fraction form
    4,137/5,709.46 = 2,274.36/x
  3. Step 3: Cross multiply
    4,137x = 5,709.46 × 2,274.36
  4. Step 4: Simplify right side
    4,137x = 12,985,367.45
  5. Step 5: Solve for x
    x = 12,985,367.45/4,137
  6. Step 6: Final answer
    x = 3,138.84

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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.