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Finding the Fourth Proportional to 17,617.68, 26,418.84 and 6,666

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Solution

The fourth proportional to 17,617.68, 26,418.84 and 6,666 is: 9,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.68 : 26,418.84 = 6,666 : x
  2. Step 2: Convert to fraction form
    17,617.68/26,418.84 = 6,666/x
  3. Step 3: Cross multiply
    17,617.68x = 26,418.84 × 6,666
  4. Step 4: Simplify right side
    17,617.68x = 176,107,987.44
  5. Step 5: Solve for x
    x = 176,107,987.44/17,617.68
  6. Step 6: Final answer
    x = 9,996.09

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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.