Home / 20,826-31,242.26-6,782.72

Finding the Fourth Proportional to 20,826, 31,242.26 and 6,782.72

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Solution

The fourth proportional to 20,826, 31,242.26 and 6,782.72 is: 10,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 31,242.26 = 6,782.72 : x
  2. Step 2: Convert to fraction form
    20,826/31,242.26 = 6,782.72/x
  3. Step 3: Cross multiply
    20,826x = 31,242.26 × 6,782.72
  4. Step 4: Simplify right side
    20,826x = 211,907,311.62
  5. Step 5: Solve for x
    x = 211,907,311.62/20,826
  6. Step 6: Final answer
    x = 10,175.13

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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.