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Finding the Fourth Proportional to 2,523.71, 3,785.56 and 879.86

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Solution

The fourth proportional to 2,523.71, 3,785.56 and 879.86 is: 1,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.71 : 3,785.56 = 879.86 : x
  2. Step 2: Convert to fraction form
    2,523.71/3,785.56 = 879.86/x
  3. Step 3: Cross multiply
    2,523.71x = 3,785.56 × 879.86
  4. Step 4: Simplify right side
    2,523.71x = 3,330,743.89
  5. Step 5: Solve for x
    x = 3,330,743.89/2,523.71
  6. Step 6: Final answer
    x = 1,319.78

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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.