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Finding the Fourth Proportional to 20,503.10, 30,748.98 and 8,020.60

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Solution

The fourth proportional to 20,503.10, 30,748.98 and 8,020.60 is: 12,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.10 : 30,748.98 = 8,020.60 : x
  2. Step 2: Convert to fraction form
    20,503.10/30,748.98 = 8,020.60/x
  3. Step 3: Cross multiply
    20,503.10x = 30,748.98 × 8,020.60
  4. Step 4: Simplify right side
    20,503.10x = 246,625,268.99
  5. Step 5: Solve for x
    x = 246,625,268.99/20,503.10
  6. Step 6: Final answer
    x = 12,028.68

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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.