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Finding the Fourth Proportional to 9,879.44, 14,826.60 and 3,645.44

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Solution

The fourth proportional to 9,879.44, 14,826.60 and 3,645.44 is: 5,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.44 : 14,826.60 = 3,645.44 : x
  2. Step 2: Convert to fraction form
    9,879.44/14,826.60 = 3,645.44/x
  3. Step 3: Cross multiply
    9,879.44x = 14,826.60 × 3,645.44
  4. Step 4: Simplify right side
    9,879.44x = 54,049,480.70
  5. Step 5: Solve for x
    x = 54,049,480.70/9,879.44
  6. Step 6: Final answer
    x = 5,470.91

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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.