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Finding the Fourth Proportional to 6,486.28, 8,951.52 and 3,691.78

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Solution

The fourth proportional to 6,486.28, 8,951.52 and 3,691.78 is: 5,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.28 : 8,951.52 = 3,691.78 : x
  2. Step 2: Convert to fraction form
    6,486.28/8,951.52 = 3,691.78/x
  3. Step 3: Cross multiply
    6,486.28x = 8,951.52 × 3,691.78
  4. Step 4: Simplify right side
    6,486.28x = 33,047,042.51
  5. Step 5: Solve for x
    x = 33,047,042.51/6,486.28
  6. Step 6: Final answer
    x = 5,094.91

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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.