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Finding the Fourth Proportional to 11,431.80, 17,168.82 and 6,843

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Solution

The fourth proportional to 11,431.80, 17,168.82 and 6,843 is: 10,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.80 : 17,168.82 = 6,843 : x
  2. Step 2: Convert to fraction form
    11,431.80/17,168.82 = 6,843/x
  3. Step 3: Cross multiply
    11,431.80x = 17,168.82 × 6,843
  4. Step 4: Simplify right side
    11,431.80x = 117,486,235.26
  5. Step 5: Solve for x
    x = 117,486,235.26/11,431.80
  6. Step 6: Final answer
    x = 10,277.14

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1.5x scale

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.