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Finding the Fourth Proportional to 8,628.08, 11,906.52 and 4,902

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Solution

The fourth proportional to 8,628.08, 11,906.52 and 4,902 is: 6,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.08 : 11,906.52 = 4,902 : x
  2. Step 2: Convert to fraction form
    8,628.08/11,906.52 = 4,902/x
  3. Step 3: Cross multiply
    8,628.08x = 11,906.52 × 4,902
  4. Step 4: Simplify right side
    8,628.08x = 58,365,761.04
  5. Step 5: Solve for x
    x = 58,365,761.04/8,628.08
  6. Step 6: Final answer
    x = 6,764.63

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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.