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Finding the Fourth Proportional to 20,874.92, 31,311.15 and 6,844.10

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Solution

The fourth proportional to 20,874.92, 31,311.15 and 6,844.10 is: 10,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.92 : 31,311.15 = 6,844.10 : x
  2. Step 2: Convert to fraction form
    20,874.92/31,311.15 = 6,844.10/x
  3. Step 3: Cross multiply
    20,874.92x = 31,311.15 × 6,844.10
  4. Step 4: Simplify right side
    20,874.92x = 214,296,641.72
  5. Step 5: Solve for x
    x = 214,296,641.72/20,874.92
  6. Step 6: Final answer
    x = 10,265.75

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1.5x scale

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.