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Finding the Fourth Proportional to 20,814, 31,220.76 and 5,231.76

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Solution

The fourth proportional to 20,814, 31,220.76 and 5,231.76 is: 7,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814 : 31,220.76 = 5,231.76 : x
  2. Step 2: Convert to fraction form
    20,814/31,220.76 = 5,231.76/x
  3. Step 3: Cross multiply
    20,814x = 31,220.76 × 5,231.76
  4. Step 4: Simplify right side
    20,814x = 163,339,523.34
  5. Step 5: Solve for x
    x = 163,339,523.34/20,814
  6. Step 6: Final answer
    x = 7,847.58

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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.