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Finding the Fourth Proportional to 28,205.46, 42,309 and 8,481.96

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Solution

The fourth proportional to 28,205.46, 42,309 and 8,481.96 is: 12,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.46 : 42,309 = 8,481.96 : x
  2. Step 2: Convert to fraction form
    28,205.46/42,309 = 8,481.96/x
  3. Step 3: Cross multiply
    28,205.46x = 42,309 × 8,481.96
  4. Step 4: Simplify right side
    28,205.46x = 358,863,245.64
  5. Step 5: Solve for x
    x = 358,863,245.64/28,205.46
  6. Step 6: Final answer
    x = 12,723.18

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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.