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Finding the Fourth Proportional to 12,680, 17,498.46 and 7,091

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Solution

The fourth proportional to 12,680, 17,498.46 and 7,091 is: 9,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680 : 17,498.46 = 7,091 : x
  2. Step 2: Convert to fraction form
    12,680/17,498.46 = 7,091/x
  3. Step 3: Cross multiply
    12,680x = 17,498.46 × 7,091
  4. Step 4: Simplify right side
    12,680x = 124,081,579.86
  5. Step 5: Solve for x
    x = 124,081,579.86/12,680
  6. Step 6: Final answer
    x = 9,785.61

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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.