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Finding the Fourth Proportional to 6,137.37, 9,209.37 and 2,439.64

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Solution

The fourth proportional to 6,137.37, 9,209.37 and 2,439.64 is: 3,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.37 : 9,209.37 = 2,439.64 : x
  2. Step 2: Convert to fraction form
    6,137.37/9,209.37 = 2,439.64/x
  3. Step 3: Cross multiply
    6,137.37x = 9,209.37 × 2,439.64
  4. Step 4: Simplify right side
    6,137.37x = 22,467,587.13
  5. Step 5: Solve for x
    x = 22,467,587.13/6,137.37
  6. Step 6: Final answer
    x = 3,660.78

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1.5x scale

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.