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Finding the Fourth Proportional to 30,636.97, 45,949.98 and 8,147.77

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Solution

The fourth proportional to 30,636.97, 45,949.98 and 8,147.77 is: 12,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,636.97 : 45,949.98 = 8,147.77 : x
  2. Step 2: Convert to fraction form
    30,636.97/45,949.98 = 8,147.77/x
  3. Step 3: Cross multiply
    30,636.97x = 45,949.98 × 8,147.77
  4. Step 4: Simplify right side
    30,636.97x = 374,390,042.69
  5. Step 5: Solve for x
    x = 374,390,042.69/30,636.97
  6. Step 6: Final answer
    x = 12,220.21

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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.