Home / 1,914-2,869.74-1,092.66

Finding the Fourth Proportional to 1,914, 2,869.74 and 1,092.66

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Solution

The fourth proportional to 1,914, 2,869.74 and 1,092.66 is: 1,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914 : 2,869.74 = 1,092.66 : x
  2. Step 2: Convert to fraction form
    1,914/2,869.74 = 1,092.66/x
  3. Step 3: Cross multiply
    1,914x = 2,869.74 × 1,092.66
  4. Step 4: Simplify right side
    1,914x = 3,135,650.11
  5. Step 5: Solve for x
    x = 3,135,650.11/1,914
  6. Step 6: Final answer
    x = 1,638.27

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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.