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Finding the Fourth Proportional to 9,289.92, 13,936.92 and 4,906.35

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Solution

The fourth proportional to 9,289.92, 13,936.92 and 4,906.35 is: 7,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.92 : 13,936.92 = 4,906.35 : x
  2. Step 2: Convert to fraction form
    9,289.92/13,936.92 = 4,906.35/x
  3. Step 3: Cross multiply
    9,289.92x = 13,936.92 × 4,906.35
  4. Step 4: Simplify right side
    9,289.92x = 68,379,407.44
  5. Step 5: Solve for x
    x = 68,379,407.44/9,289.92
  6. Step 6: Final answer
    x = 7,360.60

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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.