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Finding the Fourth Proportional to 8,832, 13,223.68 and 5,906.40

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Solution

The fourth proportional to 8,832, 13,223.68 and 5,906.40 is: 8,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832 : 13,223.68 = 5,906.40 : x
  2. Step 2: Convert to fraction form
    8,832/13,223.68 = 5,906.40/x
  3. Step 3: Cross multiply
    8,832x = 13,223.68 × 5,906.40
  4. Step 4: Simplify right side
    8,832x = 78,104,343.55
  5. Step 5: Solve for x
    x = 78,104,343.55/8,832
  6. Step 6: Final answer
    x = 8,843.34

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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.