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Finding the Fourth Proportional to 12,503.75, 18,755.81 and 3,269.75

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Solution

The fourth proportional to 12,503.75, 18,755.81 and 3,269.75 is: 4,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.75 : 18,755.81 = 3,269.75 : x
  2. Step 2: Convert to fraction form
    12,503.75/18,755.81 = 3,269.75/x
  3. Step 3: Cross multiply
    12,503.75x = 18,755.81 × 3,269.75
  4. Step 4: Simplify right side
    12,503.75x = 61,326,793.40
  5. Step 5: Solve for x
    x = 61,326,793.40/12,503.75
  6. Step 6: Final answer
    x = 4,904.67

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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.