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Finding the Fourth Proportional to 3,438.62, 4,745.20 and 1,866.68

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Solution

The fourth proportional to 3,438.62, 4,745.20 and 1,866.68 is: 2,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.62 : 4,745.20 = 1,866.68 : x
  2. Step 2: Convert to fraction form
    3,438.62/4,745.20 = 1,866.68/x
  3. Step 3: Cross multiply
    3,438.62x = 4,745.20 × 1,866.68
  4. Step 4: Simplify right side
    3,438.62x = 8,857,736.88
  5. Step 5: Solve for x
    x = 8,857,736.88/3,438.62
  6. Step 6: Final answer
    x = 2,575.96

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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.