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Finding the Fourth Proportional to 8,219, 11,342.40 and 4,493

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Solution

The fourth proportional to 8,219, 11,342.40 and 4,493 is: 6,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219 : 11,342.40 = 4,493 : x
  2. Step 2: Convert to fraction form
    8,219/11,342.40 = 4,493/x
  3. Step 3: Cross multiply
    8,219x = 11,342.40 × 4,493
  4. Step 4: Simplify right side
    8,219x = 50,961,403.20
  5. Step 5: Solve for x
    x = 50,961,403.20/8,219
  6. Step 6: Final answer
    x = 6,200.44

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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.