Home / 20,821-31,229.20-5,238.62

Finding the Fourth Proportional to 20,821, 31,229.20 and 5,238.62

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Solution

The fourth proportional to 20,821, 31,229.20 and 5,238.62 is: 7,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821 : 31,229.20 = 5,238.62 : x
  2. Step 2: Convert to fraction form
    20,821/31,229.20 = 5,238.62/x
  3. Step 3: Cross multiply
    20,821x = 31,229.20 × 5,238.62
  4. Step 4: Simplify right side
    20,821x = 163,597,911.70
  5. Step 5: Solve for x
    x = 163,597,911.70/20,821
  6. Step 6: Final answer
    x = 7,857.35

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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.