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Finding the Fourth Proportional to 3,643.90, 5,469.90 and 2,258.80

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Solution

The fourth proportional to 3,643.90, 5,469.90 and 2,258.80 is: 3,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.90 : 5,469.90 = 2,258.80 : x
  2. Step 2: Convert to fraction form
    3,643.90/5,469.90 = 2,258.80/x
  3. Step 3: Cross multiply
    3,643.90x = 5,469.90 × 2,258.80
  4. Step 4: Simplify right side
    3,643.90x = 12,355,410.12
  5. Step 5: Solve for x
    x = 12,355,410.12/3,643.90
  6. Step 6: Final answer
    x = 3,390.71

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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.