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Finding the Fourth Proportional to 4,137.60, 6,207.84 and 3,843.84

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Solution

The fourth proportional to 4,137.60, 6,207.84 and 3,843.84 is: 5,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.60 : 6,207.84 = 3,843.84 : x
  2. Step 2: Convert to fraction form
    4,137.60/6,207.84 = 3,843.84/x
  3. Step 3: Cross multiply
    4,137.60x = 6,207.84 × 3,843.84
  4. Step 4: Simplify right side
    4,137.60x = 23,861,943.71
  5. Step 5: Solve for x
    x = 23,861,943.71/4,137.60
  6. Step 6: Final answer
    x = 5,767.10

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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.