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Finding the Fourth Proportional to 2,576.26, 3,863.70 and 726.94

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Solution

The fourth proportional to 2,576.26, 3,863.70 and 726.94 is: 1,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.26 : 3,863.70 = 726.94 : x
  2. Step 2: Convert to fraction form
    2,576.26/3,863.70 = 726.94/x
  3. Step 3: Cross multiply
    2,576.26x = 3,863.70 × 726.94
  4. Step 4: Simplify right side
    2,576.26x = 2,808,678.08
  5. Step 5: Solve for x
    x = 2,808,678.08/2,576.26
  6. Step 6: Final answer
    x = 1,090.22

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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.