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Finding the Fourth Proportional to 2,764.83, 3,816.27 and 2,209.17

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Solution

The fourth proportional to 2,764.83, 3,816.27 and 2,209.17 is: 3,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.83 : 3,816.27 = 2,209.17 : x
  2. Step 2: Convert to fraction form
    2,764.83/3,816.27 = 2,209.17/x
  3. Step 3: Cross multiply
    2,764.83x = 3,816.27 × 2,209.17
  4. Step 4: Simplify right side
    2,764.83x = 8,430,789.20
  5. Step 5: Solve for x
    x = 8,430,789.20/2,764.83
  6. Step 6: Final answer
    x = 3,049.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.