Home / 2,104.26-3,154.38-787.66

Finding the Fourth Proportional to 2,104.26, 3,154.38 and 787.66

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Solution

The fourth proportional to 2,104.26, 3,154.38 and 787.66 is: 1,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.26 : 3,154.38 = 787.66 : x
  2. Step 2: Convert to fraction form
    2,104.26/3,154.38 = 787.66/x
  3. Step 3: Cross multiply
    2,104.26x = 3,154.38 × 787.66
  4. Step 4: Simplify right side
    2,104.26x = 2,484,559.24
  5. Step 5: Solve for x
    x = 2,484,559.24/2,104.26
  6. Step 6: Final answer
    x = 1,180.73

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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.