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Finding the Fourth Proportional to 8,990, 13,481.36 and 3,144.64

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Solution

The fourth proportional to 8,990, 13,481.36 and 3,144.64 is: 4,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,990 : 13,481.36 = 3,144.64 : x
  2. Step 2: Convert to fraction form
    8,990/13,481.36 = 3,144.64/x
  3. Step 3: Cross multiply
    8,990x = 13,481.36 × 3,144.64
  4. Step 4: Simplify right side
    8,990x = 42,394,023.91
  5. Step 5: Solve for x
    x = 42,394,023.91/8,990
  6. Step 6: Final answer
    x = 4,715.69

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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.