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Finding the Fourth Proportional to 9,281.89, 13,906.64 and 7,731.86

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Solution

The fourth proportional to 9,281.89, 13,906.64 and 7,731.86 is: 11,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.89 : 13,906.64 = 7,731.86 : x
  2. Step 2: Convert to fraction form
    9,281.89/13,906.64 = 7,731.86/x
  3. Step 3: Cross multiply
    9,281.89x = 13,906.64 × 7,731.86
  4. Step 4: Simplify right side
    9,281.89x = 107,524,099.86
  5. Step 5: Solve for x
    x = 107,524,099.86/9,281.89
  6. Step 6: Final answer
    x = 11,584.29

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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.