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Finding the Fourth Proportional to 2,708.11, 4,062.81 and 760.27

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Solution

The fourth proportional to 2,708.11, 4,062.81 and 760.27 is: 1,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.11 : 4,062.81 = 760.27 : x
  2. Step 2: Convert to fraction form
    2,708.11/4,062.81 = 760.27/x
  3. Step 3: Cross multiply
    2,708.11x = 4,062.81 × 760.27
  4. Step 4: Simplify right side
    2,708.11x = 3,088,832.56
  5. Step 5: Solve for x
    x = 3,088,832.56/2,708.11
  6. Step 6: Final answer
    x = 1,140.59

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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.