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Finding the Fourth Proportional to 20,363.40, 30,536.90 and 8,509.41

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Solution

The fourth proportional to 20,363.40, 30,536.90 and 8,509.41 is: 12,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,363.40 : 30,536.90 = 8,509.41 : x
  2. Step 2: Convert to fraction form
    20,363.40/30,536.90 = 8,509.41/x
  3. Step 3: Cross multiply
    20,363.40x = 30,536.90 × 8,509.41
  4. Step 4: Simplify right side
    20,363.40x = 259,850,959.68
  5. Step 5: Solve for x
    x = 259,850,959.68/20,363.40
  6. Step 6: Final answer
    x = 12,760.69

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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.