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Finding the Fourth Proportional to 20,503.50, 30,768.22 and 11,755.50

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Solution

The fourth proportional to 20,503.50, 30,768.22 and 11,755.50 is: 17,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.50 : 30,768.22 = 11,755.50 : x
  2. Step 2: Convert to fraction form
    20,503.50/30,768.22 = 11,755.50/x
  3. Step 3: Cross multiply
    20,503.50x = 30,768.22 × 11,755.50
  4. Step 4: Simplify right side
    20,503.50x = 361,695,810.21
  5. Step 5: Solve for x
    x = 361,695,810.21/20,503.50
  6. Step 6: Final answer
    x = 17,640.69

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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.