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Finding the Fourth Proportional to 8,113, 11,195.94 and 4,801

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Solution

The fourth proportional to 8,113, 11,195.94 and 4,801 is: 6,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113 : 11,195.94 = 4,801 : x
  2. Step 2: Convert to fraction form
    8,113/11,195.94 = 4,801/x
  3. Step 3: Cross multiply
    8,113x = 11,195.94 × 4,801
  4. Step 4: Simplify right side
    8,113x = 53,751,707.94
  5. Step 5: Solve for x
    x = 53,751,707.94/8,113
  6. Step 6: Final answer
    x = 6,625.38

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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.