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Finding the Fourth Proportional to 2,579.18, 3,868.99 and 824.44

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Solution

The fourth proportional to 2,579.18, 3,868.99 and 824.44 is: 1,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.18 : 3,868.99 = 824.44 : x
  2. Step 2: Convert to fraction form
    2,579.18/3,868.99 = 824.44/x
  3. Step 3: Cross multiply
    2,579.18x = 3,868.99 × 824.44
  4. Step 4: Simplify right side
    2,579.18x = 3,189,737.07
  5. Step 5: Solve for x
    x = 3,189,737.07/2,579.18
  6. Step 6: Final answer
    x = 1,236.72

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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.