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Finding the Fourth Proportional to 20,494.70, 30,721.52 and 7,997.52

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Solution

The fourth proportional to 20,494.70, 30,721.52 and 7,997.52 is: 11,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.70 : 30,721.52 = 7,997.52 : x
  2. Step 2: Convert to fraction form
    20,494.70/30,721.52 = 7,997.52/x
  3. Step 3: Cross multiply
    20,494.70x = 30,721.52 × 7,997.52
  4. Step 4: Simplify right side
    20,494.70x = 245,695,930.64
  5. Step 5: Solve for x
    x = 245,695,930.64/20,494.70
  6. Step 6: Final answer
    x = 11,988.27

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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.