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Finding the Fourth Proportional to 3,843.30, 5,763.60 and 1,764.30

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Solution

The fourth proportional to 3,843.30, 5,763.60 and 1,764.30 is: 2,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.30 : 5,763.60 = 1,764.30 : x
  2. Step 2: Convert to fraction form
    3,843.30/5,763.60 = 1,764.30/x
  3. Step 3: Cross multiply
    3,843.30x = 5,763.60 × 1,764.30
  4. Step 4: Simplify right side
    3,843.30x = 10,168,719.48
  5. Step 5: Solve for x
    x = 10,168,719.48/3,843.30
  6. Step 6: Final answer
    x = 2,645.83

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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.