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Finding the Fourth Proportional to 20,765, 31,157.22 and 9,081.56

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Solution

The fourth proportional to 20,765, 31,157.22 and 9,081.56 is: 13,626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765 : 31,157.22 = 9,081.56 : x
  2. Step 2: Convert to fraction form
    20,765/31,157.22 = 9,081.56/x
  3. Step 3: Cross multiply
    20,765x = 31,157.22 × 9,081.56
  4. Step 4: Simplify right side
    20,765x = 282,956,162.86
  5. Step 5: Solve for x
    x = 282,956,162.86/20,765
  6. Step 6: Final answer
    x = 13,626.59

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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.