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Finding the Fourth Proportional to 20,511, 30,769.08 and 8,029.42

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Solution

The fourth proportional to 20,511, 30,769.08 and 8,029.42 is: 12,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511 : 30,769.08 = 8,029.42 : x
  2. Step 2: Convert to fraction form
    20,511/30,769.08 = 8,029.42/x
  3. Step 3: Cross multiply
    20,511x = 30,769.08 × 8,029.42
  4. Step 4: Simplify right side
    20,511x = 247,057,866.33
  5. Step 5: Solve for x
    x = 247,057,866.33/20,511
  6. Step 6: Final answer
    x = 12,045.14

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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.