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Finding the Fourth Proportional to 20,263.86, 30,375.14 and 7,780.68

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Solution

The fourth proportional to 20,263.86, 30,375.14 and 7,780.68 is: 11,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263.86 : 30,375.14 = 7,780.68 : x
  2. Step 2: Convert to fraction form
    20,263.86/30,375.14 = 7,780.68/x
  3. Step 3: Cross multiply
    20,263.86x = 30,375.14 × 7,780.68
  4. Step 4: Simplify right side
    20,263.86x = 236,339,205.39
  5. Step 5: Solve for x
    x = 236,339,205.39/20,263.86
  6. Step 6: Final answer
    x = 11,663.09

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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.