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Finding the Fourth Proportional to 2,689.26, 4,032.31 and 814.59

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Solution

The fourth proportional to 2,689.26, 4,032.31 and 814.59 is: 1,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.26 : 4,032.31 = 814.59 : x
  2. Step 2: Convert to fraction form
    2,689.26/4,032.31 = 814.59/x
  3. Step 3: Cross multiply
    2,689.26x = 4,032.31 × 814.59
  4. Step 4: Simplify right side
    2,689.26x = 3,284,679.40
  5. Step 5: Solve for x
    x = 3,284,679.40/2,689.26
  6. Step 6: Final answer
    x = 1,221.41

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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.