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Finding the Fourth Proportional to 2,761.72, 3,816.62 and 2,263.56

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Solution

The fourth proportional to 2,761.72, 3,816.62 and 2,263.56 is: 3,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.72 : 3,816.62 = 2,263.56 : x
  2. Step 2: Convert to fraction form
    2,761.72/3,816.62 = 2,263.56/x
  3. Step 3: Cross multiply
    2,761.72x = 3,816.62 × 2,263.56
  4. Step 4: Simplify right side
    2,761.72x = 8,639,148.37
  5. Step 5: Solve for x
    x = 8,639,148.37/2,761.72
  6. Step 6: Final answer
    x = 3,128.18

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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.