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Finding the Fourth Proportional to 18,468.20, 27,702.30 and 5,321.90

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Solution

The fourth proportional to 18,468.20, 27,702.30 and 5,321.90 is: 7,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468.20 : 27,702.30 = 5,321.90 : x
  2. Step 2: Convert to fraction form
    18,468.20/27,702.30 = 5,321.90/x
  3. Step 3: Cross multiply
    18,468.20x = 27,702.30 × 5,321.90
  4. Step 4: Simplify right side
    18,468.20x = 147,428,870.37
  5. Step 5: Solve for x
    x = 147,428,870.37/18,468.20
  6. Step 6: Final answer
    x = 7,982.85

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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.