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Finding the Fourth Proportional to 20,916, 31,380.48 and 8,604

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Solution

The fourth proportional to 20,916, 31,380.48 and 8,604 is: 12,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 31,380.48 = 8,604 : x
  2. Step 2: Convert to fraction form
    20,916/31,380.48 = 8,604/x
  3. Step 3: Cross multiply
    20,916x = 31,380.48 × 8,604
  4. Step 4: Simplify right side
    20,916x = 269,997,649.92
  5. Step 5: Solve for x
    x = 269,997,649.92/20,916
  6. Step 6: Final answer
    x = 12,908.67

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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.