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Finding the Fourth Proportional to 8,906.28, 13,383.68 and 4,749.28

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Solution

The fourth proportional to 8,906.28, 13,383.68 and 4,749.28 is: 7,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.28 : 13,383.68 = 4,749.28 : x
  2. Step 2: Convert to fraction form
    8,906.28/13,383.68 = 4,749.28/x
  3. Step 3: Cross multiply
    8,906.28x = 13,383.68 × 4,749.28
  4. Step 4: Simplify right side
    8,906.28x = 63,562,843.75
  5. Step 5: Solve for x
    x = 63,562,843.75/8,906.28
  6. Step 6: Final answer
    x = 7,136.86

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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.