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Finding the Fourth Proportional to 18,343.99, 27,499.47 and 6,649

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Solution

The fourth proportional to 18,343.99, 27,499.47 and 6,649 is: 9,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,343.99 : 27,499.47 = 6,649 : x
  2. Step 2: Convert to fraction form
    18,343.99/27,499.47 = 6,649/x
  3. Step 3: Cross multiply
    18,343.99x = 27,499.47 × 6,649
  4. Step 4: Simplify right side
    18,343.99x = 182,843,976.03
  5. Step 5: Solve for x
    x = 182,843,976.03/18,343.99
  6. Step 6: Final answer
    x = 9,967.51

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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.