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Finding the Fourth Proportional to 2,761.64, 3,811.10 and 1,502.73

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Solution

The fourth proportional to 2,761.64, 3,811.10 and 1,502.73 is: 2,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.64 : 3,811.10 = 1,502.73 : x
  2. Step 2: Convert to fraction form
    2,761.64/3,811.10 = 1,502.73/x
  3. Step 3: Cross multiply
    2,761.64x = 3,811.10 × 1,502.73
  4. Step 4: Simplify right side
    2,761.64x = 5,727,046.79
  5. Step 5: Solve for x
    x = 5,727,046.79/2,761.64
  6. Step 6: Final answer
    x = 2,073.79

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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.