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Finding the Fourth Proportional to 2,579.30, 3,869.16 and 824.54

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Solution

The fourth proportional to 2,579.30, 3,869.16 and 824.54 is: 1,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.30 : 3,869.16 = 824.54 : x
  2. Step 2: Convert to fraction form
    2,579.30/3,869.16 = 824.54/x
  3. Step 3: Cross multiply
    2,579.30x = 3,869.16 × 824.54
  4. Step 4: Simplify right side
    2,579.30x = 3,190,277.19
  5. Step 5: Solve for x
    x = 3,190,277.19/2,579.30
  6. Step 6: Final answer
    x = 1,236.88

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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.