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Finding the Fourth Proportional to 20,694.25, 31,050.51 and 6,843.25

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Solution

The fourth proportional to 20,694.25, 31,050.51 and 6,843.25 is: 10,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.25 : 31,050.51 = 6,843.25 : x
  2. Step 2: Convert to fraction form
    20,694.25/31,050.51 = 6,843.25/x
  3. Step 3: Cross multiply
    20,694.25x = 31,050.51 × 6,843.25
  4. Step 4: Simplify right side
    20,694.25x = 212,486,402.56
  5. Step 5: Solve for x
    x = 212,486,402.56/20,694.25
  6. Step 6: Final answer
    x = 10,267.90

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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.