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Finding the Fourth Proportional to 3,200.70, 4,801.05 and 3,180.21

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Solution

The fourth proportional to 3,200.70, 4,801.05 and 3,180.21 is: 4,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.70 : 4,801.05 = 3,180.21 : x
  2. Step 2: Convert to fraction form
    3,200.70/4,801.05 = 3,180.21/x
  3. Step 3: Cross multiply
    3,200.70x = 4,801.05 × 3,180.21
  4. Step 4: Simplify right side
    3,200.70x = 15,268,347.22
  5. Step 5: Solve for x
    x = 15,268,347.22/3,200.70
  6. Step 6: Final answer
    x = 4,770.32

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Half scale
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Similar ratio
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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.