Home / 2,131.50-3,191.10-1,909.20

Finding the Fourth Proportional to 2,131.50, 3,191.10 and 1,909.20

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Solution

The fourth proportional to 2,131.50, 3,191.10 and 1,909.20 is: 2,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.50 : 3,191.10 = 1,909.20 : x
  2. Step 2: Convert to fraction form
    2,131.50/3,191.10 = 1,909.20/x
  3. Step 3: Cross multiply
    2,131.50x = 3,191.10 × 1,909.20
  4. Step 4: Simplify right side
    2,131.50x = 6,092,448.12
  5. Step 5: Solve for x
    x = 6,092,448.12/2,131.50
  6. Step 6: Final answer
    x = 2,858.29

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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.