Home / 2,156.28-3,232.43-769.36

Finding the Fourth Proportional to 2,156.28, 3,232.43 and 769.36

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Solution

The fourth proportional to 2,156.28, 3,232.43 and 769.36 is: 1,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.28 : 3,232.43 = 769.36 : x
  2. Step 2: Convert to fraction form
    2,156.28/3,232.43 = 769.36/x
  3. Step 3: Cross multiply
    2,156.28x = 3,232.43 × 769.36
  4. Step 4: Simplify right side
    2,156.28x = 2,486,906.07
  5. Step 5: Solve for x
    x = 2,486,906.07/2,156.28
  6. Step 6: Final answer
    x = 1,153.33

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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.