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Finding the Fourth Proportional to 20,613, 30,923.69 and 8,766.75

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Solution

The fourth proportional to 20,613, 30,923.69 and 8,766.75 is: 13,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613 : 30,923.69 = 8,766.75 : x
  2. Step 2: Convert to fraction form
    20,613/30,923.69 = 8,766.75/x
  3. Step 3: Cross multiply
    20,613x = 30,923.69 × 8,766.75
  4. Step 4: Simplify right side
    20,613x = 271,100,259.31
  5. Step 5: Solve for x
    x = 271,100,259.31/20,613
  6. Step 6: Final answer
    x = 13,151.91

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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.