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Finding the Fourth Proportional to 17,905.65, 26,858.49 and 6,809.78

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Solution

The fourth proportional to 17,905.65, 26,858.49 and 6,809.78 is: 10,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.65 : 26,858.49 = 6,809.78 : x
  2. Step 2: Convert to fraction form
    17,905.65/26,858.49 = 6,809.78/x
  3. Step 3: Cross multiply
    17,905.65x = 26,858.49 × 6,809.78
  4. Step 4: Simplify right side
    17,905.65x = 182,900,408.03
  5. Step 5: Solve for x
    x = 182,900,408.03/17,905.65
  6. Step 6: Final answer
    x = 10,214.68

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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.