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Finding the Fourth Proportional to 25,879.28, 38,826.48 and 8,348.72

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Solution

The fourth proportional to 25,879.28, 38,826.48 and 8,348.72 is: 12,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.28 : 38,826.48 = 8,348.72 : x
  2. Step 2: Convert to fraction form
    25,879.28/38,826.48 = 8,348.72/x
  3. Step 3: Cross multiply
    25,879.28x = 38,826.48 × 8,348.72
  4. Step 4: Simplify right side
    25,879.28x = 324,151,410.11
  5. Step 5: Solve for x
    x = 324,151,410.11/25,879.28
  6. Step 6: Final answer
    x = 12,525.52

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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.