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Finding the Fourth Proportional to 3,722, 5,137.60 and 2,230.40

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Solution

The fourth proportional to 3,722, 5,137.60 and 2,230.40 is: 3,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722 : 5,137.60 = 2,230.40 : x
  2. Step 2: Convert to fraction form
    3,722/5,137.60 = 2,230.40/x
  3. Step 3: Cross multiply
    3,722x = 5,137.60 × 2,230.40
  4. Step 4: Simplify right side
    3,722x = 11,458,903.04
  5. Step 5: Solve for x
    x = 11,458,903.04/3,722
  6. Step 6: Final answer
    x = 3,078.70

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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.