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Finding the Fourth Proportional to 3,694.40, 5,541.60 and 3,137.60

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Solution

The fourth proportional to 3,694.40, 5,541.60 and 3,137.60 is: 4,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.40 : 5,541.60 = 3,137.60 : x
  2. Step 2: Convert to fraction form
    3,694.40/5,541.60 = 3,137.60/x
  3. Step 3: Cross multiply
    3,694.40x = 5,541.60 × 3,137.60
  4. Step 4: Simplify right side
    3,694.40x = 17,387,324.16
  5. Step 5: Solve for x
    x = 17,387,324.16/3,694.40
  6. Step 6: Final answer
    x = 4,706.40

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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.