Home / 20,776-31,171.68-10,922.56

Finding the Fourth Proportional to 20,776, 31,171.68 and 10,922.56

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Solution

The fourth proportional to 20,776, 31,171.68 and 10,922.56 is: 16,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776 : 31,171.68 = 10,922.56 : x
  2. Step 2: Convert to fraction form
    20,776/31,171.68 = 10,922.56/x
  3. Step 3: Cross multiply
    20,776x = 31,171.68 × 10,922.56
  4. Step 4: Simplify right side
    20,776x = 340,474,545.10
  5. Step 5: Solve for x
    x = 340,474,545.10/20,776
  6. Step 6: Final answer
    x = 16,387.88

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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.