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Finding the Fourth Proportional to 5,503.89, 8,255.91 and 1,806.41

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Solution

The fourth proportional to 5,503.89, 8,255.91 and 1,806.41 is: 2,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.89 : 8,255.91 = 1,806.41 : x
  2. Step 2: Convert to fraction form
    5,503.89/8,255.91 = 1,806.41/x
  3. Step 3: Cross multiply
    5,503.89x = 8,255.91 × 1,806.41
  4. Step 4: Simplify right side
    5,503.89x = 14,913,517.10
  5. Step 5: Solve for x
    x = 14,913,517.10/5,503.89
  6. Step 6: Final answer
    x = 2,709.63

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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.