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Finding the Fourth Proportional to 12,316.80, 16,992 and 8,119.68

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Solution

The fourth proportional to 12,316.80, 16,992 and 8,119.68 is: 11,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.80 : 16,992 = 8,119.68 : x
  2. Step 2: Convert to fraction form
    12,316.80/16,992 = 8,119.68/x
  3. Step 3: Cross multiply
    12,316.80x = 16,992 × 8,119.68
  4. Step 4: Simplify right side
    12,316.80x = 137,969,602.56
  5. Step 5: Solve for x
    x = 137,969,602.56/12,316.80
  6. Step 6: Final answer
    x = 11,201.74

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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.