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Finding the Fourth Proportional to 20,826, 31,240.62 and 6,975

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Solution

The fourth proportional to 20,826, 31,240.62 and 6,975 is: 10,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 31,240.62 = 6,975 : x
  2. Step 2: Convert to fraction form
    20,826/31,240.62 = 6,975/x
  3. Step 3: Cross multiply
    20,826x = 31,240.62 × 6,975
  4. Step 4: Simplify right side
    20,826x = 217,903,324.50
  5. Step 5: Solve for x
    x = 217,903,324.50/20,826
  6. Step 6: Final answer
    x = 10,463.04

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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.