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Finding the Fourth Proportional to 5,819.28, 8,729.28 and 3,503.76

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Solution

The fourth proportional to 5,819.28, 8,729.28 and 3,503.76 is: 5,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.28 : 8,729.28 = 3,503.76 : x
  2. Step 2: Convert to fraction form
    5,819.28/8,729.28 = 3,503.76/x
  3. Step 3: Cross multiply
    5,819.28x = 8,729.28 × 3,503.76
  4. Step 4: Simplify right side
    5,819.28x = 30,585,302.09
  5. Step 5: Solve for x
    x = 30,585,302.09/5,819.28
  6. Step 6: Final answer
    x = 5,255.86

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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.