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Finding the Fourth Proportional to 17,806, 26,690.17 and 6,707.89

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Solution

The fourth proportional to 17,806, 26,690.17 and 6,707.89 is: 10,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806 : 26,690.17 = 6,707.89 : x
  2. Step 2: Convert to fraction form
    17,806/26,690.17 = 6,707.89/x
  3. Step 3: Cross multiply
    17,806x = 26,690.17 × 6,707.89
  4. Step 4: Simplify right side
    17,806x = 179,034,724.44
  5. Step 5: Solve for x
    x = 179,034,724.44/17,806
  6. Step 6: Final answer
    x = 10,054.74

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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.