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Finding the Fourth Proportional to 12,093, 16,679.82 and 11,686.56

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Solution

The fourth proportional to 12,093, 16,679.82 and 11,686.56 is: 16,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093 : 16,679.82 = 11,686.56 : x
  2. Step 2: Convert to fraction form
    12,093/16,679.82 = 11,686.56/x
  3. Step 3: Cross multiply
    12,093x = 16,679.82 × 11,686.56
  4. Step 4: Simplify right side
    12,093x = 194,929,717.22
  5. Step 5: Solve for x
    x = 194,929,717.22/12,093
  6. Step 6: Final answer
    x = 16,119.22

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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.