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Finding the Fourth Proportional to 20,270.82, 30,400.47 and 7,789.98

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Solution

The fourth proportional to 20,270.82, 30,400.47 and 7,789.98 is: 11,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.82 : 30,400.47 = 7,789.98 : x
  2. Step 2: Convert to fraction form
    20,270.82/30,400.47 = 7,789.98/x
  3. Step 3: Cross multiply
    20,270.82x = 30,400.47 × 7,789.98
  4. Step 4: Simplify right side
    20,270.82x = 236,819,053.29
  5. Step 5: Solve for x
    x = 236,819,053.29/20,270.82
  6. Step 6: Final answer
    x = 11,682.76

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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.