Home / 20,872.16-31,293.65-7,722.82

Finding the Fourth Proportional to 20,872.16, 31,293.65 and 7,722.82

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Solution

The fourth proportional to 20,872.16, 31,293.65 and 7,722.82 is: 11,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.16 : 31,293.65 = 7,722.82 : x
  2. Step 2: Convert to fraction form
    20,872.16/31,293.65 = 7,722.82/x
  3. Step 3: Cross multiply
    20,872.16x = 31,293.65 × 7,722.82
  4. Step 4: Simplify right side
    20,872.16x = 241,675,069.62
  5. Step 5: Solve for x
    x = 241,675,069.62/20,872.16
  6. Step 6: Final answer
    x = 11,578.83

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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.