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Finding the Fourth Proportional to 18,310.97, 27,464.02 and 5,164.40

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Solution

The fourth proportional to 18,310.97, 27,464.02 and 5,164.40 is: 7,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,310.97 : 27,464.02 = 5,164.40 : x
  2. Step 2: Convert to fraction form
    18,310.97/27,464.02 = 5,164.40/x
  3. Step 3: Cross multiply
    18,310.97x = 27,464.02 × 5,164.40
  4. Step 4: Simplify right side
    18,310.97x = 141,835,184.89
  5. Step 5: Solve for x
    x = 141,835,184.89/18,310.97
  6. Step 6: Final answer
    x = 7,745.91

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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.