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Finding the Fourth Proportional to 8,220, 11,343.69 and 4,494

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Solution

The fourth proportional to 8,220, 11,343.69 and 4,494 is: 6,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 11,343.69 = 4,494 : x
  2. Step 2: Convert to fraction form
    8,220/11,343.69 = 4,494/x
  3. Step 3: Cross multiply
    8,220x = 11,343.69 × 4,494
  4. Step 4: Simplify right side
    8,220x = 50,978,542.86
  5. Step 5: Solve for x
    x = 50,978,542.86/8,220
  6. Step 6: Final answer
    x = 6,201.77

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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.