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Finding the Fourth Proportional to 8,664.60, 12,997.26 and 7,213.98

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Solution

The fourth proportional to 8,664.60, 12,997.26 and 7,213.98 is: 10,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.60 : 12,997.26 = 7,213.98 : x
  2. Step 2: Convert to fraction form
    8,664.60/12,997.26 = 7,213.98/x
  3. Step 3: Cross multiply
    8,664.60x = 12,997.26 × 7,213.98
  4. Step 4: Simplify right side
    8,664.60x = 93,761,973.69
  5. Step 5: Solve for x
    x = 93,761,973.69/8,664.60
  6. Step 6: Final answer
    x = 10,821.27

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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.