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Finding the Fourth Proportional to 2,578.95, 3,868.97 and 824.04

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Solution

The fourth proportional to 2,578.95, 3,868.97 and 824.04 is: 1,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.95 : 3,868.97 = 824.04 : x
  2. Step 2: Convert to fraction form
    2,578.95/3,868.97 = 824.04/x
  3. Step 3: Cross multiply
    2,578.95x = 3,868.97 × 824.04
  4. Step 4: Simplify right side
    2,578.95x = 3,188,181.92
  5. Step 5: Solve for x
    x = 3,188,181.92/2,578.95
  6. Step 6: Final answer
    x = 1,236.23

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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.