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Finding the Fourth Proportional to 8,709.28, 13,069.28 and 3,778.96

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Solution

The fourth proportional to 8,709.28, 13,069.28 and 3,778.96 is: 5,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.28 : 13,069.28 = 3,778.96 : x
  2. Step 2: Convert to fraction form
    8,709.28/13,069.28 = 3,778.96/x
  3. Step 3: Cross multiply
    8,709.28x = 13,069.28 × 3,778.96
  4. Step 4: Simplify right side
    8,709.28x = 49,388,286.35
  5. Step 5: Solve for x
    x = 49,388,286.35/8,709.28
  6. Step 6: Final answer
    x = 5,670.77

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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.