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Finding the Fourth Proportional to 12,767.88, 17,614.26 and 7,797

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Solution

The fourth proportional to 12,767.88, 17,614.26 and 7,797 is: 10,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.88 : 17,614.26 = 7,797 : x
  2. Step 2: Convert to fraction form
    12,767.88/17,614.26 = 7,797/x
  3. Step 3: Cross multiply
    12,767.88x = 17,614.26 × 7,797
  4. Step 4: Simplify right side
    12,767.88x = 137,338,385.22
  5. Step 5: Solve for x
    x = 137,338,385.22/12,767.88
  6. Step 6: Final answer
    x = 10,756.55

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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.