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Finding the Fourth Proportional to 2,174.26, 3,259.45 and 787.29

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Solution

The fourth proportional to 2,174.26, 3,259.45 and 787.29 is: 1,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.26 : 3,259.45 = 787.29 : x
  2. Step 2: Convert to fraction form
    2,174.26/3,259.45 = 787.29/x
  3. Step 3: Cross multiply
    2,174.26x = 3,259.45 × 787.29
  4. Step 4: Simplify right side
    2,174.26x = 2,566,132.39
  5. Step 5: Solve for x
    x = 2,566,132.39/2,174.26
  6. Step 6: Final answer
    x = 1,180.23

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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.