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Finding the Fourth Proportional to 3,396.42, 4,662.14 and 3,133.98

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Solution

The fourth proportional to 3,396.42, 4,662.14 and 3,133.98 is: 4,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.42 : 4,662.14 = 3,133.98 : x
  2. Step 2: Convert to fraction form
    3,396.42/4,662.14 = 3,133.98/x
  3. Step 3: Cross multiply
    3,396.42x = 4,662.14 × 3,133.98
  4. Step 4: Simplify right side
    3,396.42x = 14,611,037.85
  5. Step 5: Solve for x
    x = 14,611,037.85/3,396.42
  6. Step 6: Final answer
    x = 4,301.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.