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Finding the Fourth Proportional to 1,900.20, 2,850.27 and 1,574.88

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Solution

The fourth proportional to 1,900.20, 2,850.27 and 1,574.88 is: 2,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.20 : 2,850.27 = 1,574.88 : x
  2. Step 2: Convert to fraction form
    1,900.20/2,850.27 = 1,574.88/x
  3. Step 3: Cross multiply
    1,900.20x = 2,850.27 × 1,574.88
  4. Step 4: Simplify right side
    1,900.20x = 4,488,833.22
  5. Step 5: Solve for x
    x = 4,488,833.22/1,900.20
  6. Step 6: Final answer
    x = 2,362.30

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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.