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Finding the Fourth Proportional to 20,575.12, 30,682 and 20,388

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Solution

The fourth proportional to 20,575.12, 30,682 and 20,388 is: 30,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.12 : 30,682 = 20,388 : x
  2. Step 2: Convert to fraction form
    20,575.12/30,682 = 20,388/x
  3. Step 3: Cross multiply
    20,575.12x = 30,682 × 20,388
  4. Step 4: Simplify right side
    20,575.12x = 625,544,616
  5. Step 5: Solve for x
    x = 625,544,616/20,575.12
  6. Step 6: Final answer
    x = 30,402.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.