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Finding the Fourth Proportional to 2,523, 3,786.20 and 879.54

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Solution

The fourth proportional to 2,523, 3,786.20 and 879.54 is: 1,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523 : 3,786.20 = 879.54 : x
  2. Step 2: Convert to fraction form
    2,523/3,786.20 = 879.54/x
  3. Step 3: Cross multiply
    2,523x = 3,786.20 × 879.54
  4. Step 4: Simplify right side
    2,523x = 3,330,114.35
  5. Step 5: Solve for x
    x = 3,330,114.35/2,523
  6. Step 6: Final answer
    x = 1,319.90

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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.