Home / 4,107.75-6,156.49-1,765

Finding the Fourth Proportional to 4,107.75, 6,156.49 and 1,765

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Solution

The fourth proportional to 4,107.75, 6,156.49 and 1,765 is: 2,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.75 : 6,156.49 = 1,765 : x
  2. Step 2: Convert to fraction form
    4,107.75/6,156.49 = 1,765/x
  3. Step 3: Cross multiply
    4,107.75x = 6,156.49 × 1,765
  4. Step 4: Simplify right side
    4,107.75x = 10,866,204.85
  5. Step 5: Solve for x
    x = 10,866,204.85/4,107.75
  6. Step 6: Final answer
    x = 2,645.29

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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.