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Finding the Fourth Proportional to 3,200.14, 4,800.22 and 1,900.90

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Solution

The fourth proportional to 3,200.14, 4,800.22 and 1,900.90 is: 2,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.14 : 4,800.22 = 1,900.90 : x
  2. Step 2: Convert to fraction form
    3,200.14/4,800.22 = 1,900.90/x
  3. Step 3: Cross multiply
    3,200.14x = 4,800.22 × 1,900.90
  4. Step 4: Simplify right side
    3,200.14x = 9,124,738.20
  5. Step 5: Solve for x
    x = 9,124,738.20/3,200.14
  6. Step 6: Final answer
    x = 2,851.36

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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.