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Finding the Fourth Proportional to 12,694.92, 17,516.16 and 7,659.96

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Solution

The fourth proportional to 12,694.92, 17,516.16 and 7,659.96 is: 10,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.92 : 17,516.16 = 7,659.96 : x
  2. Step 2: Convert to fraction form
    12,694.92/17,516.16 = 7,659.96/x
  3. Step 3: Cross multiply
    12,694.92x = 17,516.16 × 7,659.96
  4. Step 4: Simplify right side
    12,694.92x = 134,173,084.95
  5. Step 5: Solve for x
    x = 134,173,084.95/12,694.92
  6. Step 6: Final answer
    x = 10,569.04

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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.