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Finding the Fourth Proportional to 20,489.13, 30,741.03 and 8,645.85

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Solution

The fourth proportional to 20,489.13, 30,741.03 and 8,645.85 is: 12,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.13 : 30,741.03 = 8,645.85 : x
  2. Step 2: Convert to fraction form
    20,489.13/30,741.03 = 8,645.85/x
  3. Step 3: Cross multiply
    20,489.13x = 30,741.03 × 8,645.85
  4. Step 4: Simplify right side
    20,489.13x = 265,782,334.23
  5. Step 5: Solve for x
    x = 265,782,334.23/20,489.13
  6. Step 6: Final answer
    x = 12,971.87

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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.