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Finding the Fourth Proportional to 20,840, 28,758.96 and 11,279.67

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Solution

The fourth proportional to 20,840, 28,758.96 and 11,279.67 is: 15,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840 : 28,758.96 = 11,279.67 : x
  2. Step 2: Convert to fraction form
    20,840/28,758.96 = 11,279.67/x
  3. Step 3: Cross multiply
    20,840x = 28,758.96 × 11,279.67
  4. Step 4: Simplify right side
    20,840x = 324,391,578.34
  5. Step 5: Solve for x
    x = 324,391,578.34/20,840
  6. Step 6: Final answer
    x = 15,565.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.