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Finding the Fourth Proportional to 20,659.75, 30,977.30 and 8,181.57

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Solution

The fourth proportional to 20,659.75, 30,977.30 and 8,181.57 is: 12,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.75 : 30,977.30 = 8,181.57 : x
  2. Step 2: Convert to fraction form
    20,659.75/30,977.30 = 8,181.57/x
  3. Step 3: Cross multiply
    20,659.75x = 30,977.30 × 8,181.57
  4. Step 4: Simplify right side
    20,659.75x = 253,442,948.36
  5. Step 5: Solve for x
    x = 253,442,948.36/20,659.75
  6. Step 6: Final answer
    x = 12,267.47

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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.