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Finding the Fourth Proportional to 12,689.46, 17,519.36 and 8,153.97

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Solution

The fourth proportional to 12,689.46, 17,519.36 and 8,153.97 is: 11,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.46 : 17,519.36 = 8,153.97 : x
  2. Step 2: Convert to fraction form
    12,689.46/17,519.36 = 8,153.97/x
  3. Step 3: Cross multiply
    12,689.46x = 17,519.36 × 8,153.97
  4. Step 4: Simplify right side
    12,689.46x = 142,852,229.39
  5. Step 5: Solve for x
    x = 142,852,229.39/12,689.46
  6. Step 6: Final answer
    x = 11,257.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.