Home / 2,122.45-3,184.91-889.75

Finding the Fourth Proportional to 2,122.45, 3,184.91 and 889.75

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Solution

The fourth proportional to 2,122.45, 3,184.91 and 889.75 is: 1,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.45 : 3,184.91 = 889.75 : x
  2. Step 2: Convert to fraction form
    2,122.45/3,184.91 = 889.75/x
  3. Step 3: Cross multiply
    2,122.45x = 3,184.91 × 889.75
  4. Step 4: Simplify right side
    2,122.45x = 2,833,781.63
  5. Step 5: Solve for x
    x = 2,833,781.63/2,122.45
  6. Step 6: Final answer
    x = 1,335.15

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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.