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Finding the Fourth Proportional to 20,045.82, 30,035.88 and 10,675.88

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Solution

The fourth proportional to 20,045.82, 30,035.88 and 10,675.88 is: 15,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.82 : 30,035.88 = 10,675.88 : x
  2. Step 2: Convert to fraction form
    20,045.82/30,035.88 = 10,675.88/x
  3. Step 3: Cross multiply
    20,045.82x = 30,035.88 × 10,675.88
  4. Step 4: Simplify right side
    20,045.82x = 320,659,450.57
  5. Step 5: Solve for x
    x = 320,659,450.57/20,045.82
  6. Step 6: Final answer
    x = 15,996.32

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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.