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Finding the Fourth Proportional to 3,522.80, 4,846.56 and 3,425.60

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Solution

The fourth proportional to 3,522.80, 4,846.56 and 3,425.60 is: 4,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.80 : 4,846.56 = 3,425.60 : x
  2. Step 2: Convert to fraction form
    3,522.80/4,846.56 = 3,425.60/x
  3. Step 3: Cross multiply
    3,522.80x = 4,846.56 × 3,425.60
  4. Step 4: Simplify right side
    3,522.80x = 16,602,375.94
  5. Step 5: Solve for x
    x = 16,602,375.94/3,522.80
  6. Step 6: Final answer
    x = 4,712.84

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Half 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.