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Finding the Fourth Proportional to 11,684.15, 17,518.88 and 7,731.15

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Solution

The fourth proportional to 11,684.15, 17,518.88 and 7,731.15 is: 11,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.15 : 17,518.88 = 7,731.15 : x
  2. Step 2: Convert to fraction form
    11,684.15/17,518.88 = 7,731.15/x
  3. Step 3: Cross multiply
    11,684.15x = 17,518.88 × 7,731.15
  4. Step 4: Simplify right side
    11,684.15x = 135,441,042.74
  5. Step 5: Solve for x
    x = 135,441,042.74/11,684.15
  6. Step 6: Final answer
    x = 11,591.86

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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.