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Finding the Fourth Proportional to 20,658, 30,974.68 and 8,179.82

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Solution

The fourth proportional to 20,658, 30,974.68 and 8,179.82 is: 12,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 30,974.68 = 8,179.82 : x
  2. Step 2: Convert to fraction form
    20,658/30,974.68 = 8,179.82/x
  3. Step 3: Cross multiply
    20,658x = 30,974.68 × 8,179.82
  4. Step 4: Simplify right side
    20,658x = 253,367,111.19
  5. Step 5: Solve for x
    x = 253,367,111.19/20,658
  6. Step 6: Final answer
    x = 12,264.84

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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.