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Finding the Fourth Proportional to 3,438.76, 4,745.88 and 3,227.64

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Solution

The fourth proportional to 3,438.76, 4,745.88 and 3,227.64 is: 4,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.76 : 4,745.88 = 3,227.64 : x
  2. Step 2: Convert to fraction form
    3,438.76/4,745.88 = 3,227.64/x
  3. Step 3: Cross multiply
    3,438.76x = 4,745.88 × 3,227.64
  4. Step 4: Simplify right side
    3,438.76x = 15,317,992.12
  5. Step 5: Solve for x
    x = 15,317,992.12/3,438.76
  6. Step 6: Final answer
    x = 4,454.51

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Half scale
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Double scale
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1.5x scale

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.