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Finding the Fourth Proportional to 11,892, 16,411.80 and 7,176

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Solution

The fourth proportional to 11,892, 16,411.80 and 7,176 is: 9,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892 : 16,411.80 = 7,176 : x
  2. Step 2: Convert to fraction form
    11,892/16,411.80 = 7,176/x
  3. Step 3: Cross multiply
    11,892x = 16,411.80 × 7,176
  4. Step 4: Simplify right side
    11,892x = 117,771,076.80
  5. Step 5: Solve for x
    x = 117,771,076.80/11,892
  6. Step 6: Final answer
    x = 9,903.39

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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.