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Finding the Fourth Proportional to 2,771.69, 4,162.48 and 2,660.20

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Solution

The fourth proportional to 2,771.69, 4,162.48 and 2,660.20 is: 3,995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.69 : 4,162.48 = 2,660.20 : x
  2. Step 2: Convert to fraction form
    2,771.69/4,162.48 = 2,660.20/x
  3. Step 3: Cross multiply
    2,771.69x = 4,162.48 × 2,660.20
  4. Step 4: Simplify right side
    2,771.69x = 11,073,031.43
  5. Step 5: Solve for x
    x = 11,073,031.43/2,771.69
  6. Step 6: Final answer
    x = 3,995.05

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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.