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Finding the Fourth Proportional to 17,117.15, 25,696.86 and 8,119.86

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Solution

The fourth proportional to 17,117.15, 25,696.86 and 8,119.86 is: 12,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.15 : 25,696.86 = 8,119.86 : x
  2. Step 2: Convert to fraction form
    17,117.15/25,696.86 = 8,119.86/x
  3. Step 3: Cross multiply
    17,117.15x = 25,696.86 × 8,119.86
  4. Step 4: Simplify right side
    17,117.15x = 208,655,028.02
  5. Step 5: Solve for x
    x = 208,655,028.02/17,117.15
  6. Step 6: Final answer
    x = 12,189.82

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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.