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Finding the Fourth Proportional to 20,493.94, 30,720.39 and 7,996.77

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Solution

The fourth proportional to 20,493.94, 30,720.39 and 7,996.77 is: 11,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.94 : 30,720.39 = 7,996.77 : x
  2. Step 2: Convert to fraction form
    20,493.94/30,720.39 = 7,996.77/x
  3. Step 3: Cross multiply
    20,493.94x = 30,720.39 × 7,996.77
  4. Step 4: Simplify right side
    20,493.94x = 245,663,853.16
  5. Step 5: Solve for x
    x = 245,663,853.16/20,493.94
  6. Step 6: Final answer
    x = 11,987.15

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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.