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Finding the Fourth Proportional to 20,330, 30,463.50 and 14,102.12

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Solution

The fourth proportional to 20,330, 30,463.50 and 14,102.12 is: 21,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,330 : 30,463.50 = 14,102.12 : x
  2. Step 2: Convert to fraction form
    20,330/30,463.50 = 14,102.12/x
  3. Step 3: Cross multiply
    20,330x = 30,463.50 × 14,102.12
  4. Step 4: Simplify right side
    20,330x = 429,599,932.62
  5. Step 5: Solve for x
    x = 429,599,932.62/20,330
  6. Step 6: Final answer
    x = 21,131.33

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1.5x scale

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.