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Finding the Fourth Proportional to 18,032, 27,048 and 6,343.88

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Solution

The fourth proportional to 18,032, 27,048 and 6,343.88 is: 9,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032 : 27,048 = 6,343.88 : x
  2. Step 2: Convert to fraction form
    18,032/27,048 = 6,343.88/x
  3. Step 3: Cross multiply
    18,032x = 27,048 × 6,343.88
  4. Step 4: Simplify right side
    18,032x = 171,589,266.24
  5. Step 5: Solve for x
    x = 171,589,266.24/18,032
  6. Step 6: Final answer
    x = 9,515.82

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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.