Home / 2,824.14-4,236.15-849.78

Finding the Fourth Proportional to 2,824.14, 4,236.15 and 849.78

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Solution

The fourth proportional to 2,824.14, 4,236.15 and 849.78 is: 1,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.14 : 4,236.15 = 849.78 : x
  2. Step 2: Convert to fraction form
    2,824.14/4,236.15 = 849.78/x
  3. Step 3: Cross multiply
    2,824.14x = 4,236.15 × 849.78
  4. Step 4: Simplify right side
    2,824.14x = 3,599,795.55
  5. Step 5: Solve for x
    x = 3,599,795.55/2,824.14
  6. Step 6: Final answer
    x = 1,274.65

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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.