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Finding the Fourth Proportional to 18,422.63, 27,633.87 and 5,275

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Solution

The fourth proportional to 18,422.63, 27,633.87 and 5,275 is: 7,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.63 : 27,633.87 = 5,275 : x
  2. Step 2: Convert to fraction form
    18,422.63/27,633.87 = 5,275/x
  3. Step 3: Cross multiply
    18,422.63x = 27,633.87 × 5,275
  4. Step 4: Simplify right side
    18,422.63x = 145,768,664.25
  5. Step 5: Solve for x
    x = 145,768,664.25/18,422.63
  6. Step 6: Final answer
    x = 7,912.48

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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.