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Finding the Fourth Proportional to 8,234.97, 12,354.51 and 2,688.63

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Solution

The fourth proportional to 8,234.97, 12,354.51 and 2,688.63 is: 4,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.97 : 12,354.51 = 2,688.63 : x
  2. Step 2: Convert to fraction form
    8,234.97/12,354.51 = 2,688.63/x
  3. Step 3: Cross multiply
    8,234.97x = 12,354.51 × 2,688.63
  4. Step 4: Simplify right side
    8,234.97x = 33,216,706.22
  5. Step 5: Solve for x
    x = 33,216,706.22/8,234.97
  6. Step 6: Final answer
    x = 4,033.62

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1.5x scale

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.