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Finding the Fourth Proportional to 20,900.25, 31,350.38 and 7,049.25

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Solution

The fourth proportional to 20,900.25, 31,350.38 and 7,049.25 is: 10,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.25 : 31,350.38 = 7,049.25 : x
  2. Step 2: Convert to fraction form
    20,900.25/31,350.38 = 7,049.25/x
  3. Step 3: Cross multiply
    20,900.25x = 31,350.38 × 7,049.25
  4. Step 4: Simplify right side
    20,900.25x = 220,996,630.97
  5. Step 5: Solve for x
    x = 220,996,630.97/20,900.25
  6. Step 6: Final answer
    x = 10,573.88

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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.