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Finding the Fourth Proportional to 11,860.38, 17,781.90 and 6,855.69

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Solution

The fourth proportional to 11,860.38, 17,781.90 and 6,855.69 is: 10,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.38 : 17,781.90 = 6,855.69 : x
  2. Step 2: Convert to fraction form
    11,860.38/17,781.90 = 6,855.69/x
  3. Step 3: Cross multiply
    11,860.38x = 17,781.90 × 6,855.69
  4. Step 4: Simplify right side
    11,860.38x = 121,907,194.01
  5. Step 5: Solve for x
    x = 121,907,194.01/11,860.38
  6. Step 6: Final answer
    x = 10,278.52

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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.