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Finding the Fourth Proportional to 12,381.88, 17,086.90 and 6,716.64

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Solution

The fourth proportional to 12,381.88, 17,086.90 and 6,716.64 is: 9,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.88 : 17,086.90 = 6,716.64 : x
  2. Step 2: Convert to fraction form
    12,381.88/17,086.90 = 6,716.64/x
  3. Step 3: Cross multiply
    12,381.88x = 17,086.90 × 6,716.64
  4. Step 4: Simplify right side
    12,381.88x = 114,766,556.02
  5. Step 5: Solve for x
    x = 114,766,556.02/12,381.88
  6. Step 6: Final answer
    x = 9,268.91

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1.5x scale

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.