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Finding the Fourth Proportional to 6,486.25, 8,951.07 and 3,691.75

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Solution

The fourth proportional to 6,486.25, 8,951.07 and 3,691.75 is: 5,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.25 : 8,951.07 = 3,691.75 : x
  2. Step 2: Convert to fraction form
    6,486.25/8,951.07 = 3,691.75/x
  3. Step 3: Cross multiply
    6,486.25x = 8,951.07 × 3,691.75
  4. Step 4: Simplify right side
    6,486.25x = 33,045,112.67
  5. Step 5: Solve for x
    x = 33,045,112.67/6,486.25
  6. Step 6: Final answer
    x = 5,094.64

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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.