Home / 1,914.14-2,871.43-1,092.20

Finding the Fourth Proportional to 1,914.14, 2,871.43 and 1,092.20

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Solution

The fourth proportional to 1,914.14, 2,871.43 and 1,092.20 is: 1,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.14 : 2,871.43 = 1,092.20 : x
  2. Step 2: Convert to fraction form
    1,914.14/2,871.43 = 1,092.20/x
  3. Step 3: Cross multiply
    1,914.14x = 2,871.43 × 1,092.20
  4. Step 4: Simplify right side
    1,914.14x = 3,136,158.76
  5. Step 5: Solve for x
    x = 3,136,158.76/1,914.14
  6. Step 6: Final answer
    x = 1,638.41

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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.