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Finding the Fourth Proportional to 8,976, 12,388.34 and 5,200.86

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Solution

The fourth proportional to 8,976, 12,388.34 and 5,200.86 is: 7,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976 : 12,388.34 = 5,200.86 : x
  2. Step 2: Convert to fraction form
    8,976/12,388.34 = 5,200.86/x
  3. Step 3: Cross multiply
    8,976x = 12,388.34 × 5,200.86
  4. Step 4: Simplify right side
    8,976x = 64,430,021.97
  5. Step 5: Solve for x
    x = 64,430,021.97/8,976
  6. Step 6: Final answer
    x = 7,178.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.