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Finding the Fourth Proportional to 18,474, 27,702.80 and 5,323.36

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Solution

The fourth proportional to 18,474, 27,702.80 and 5,323.36 is: 7,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474 : 27,702.80 = 5,323.36 : x
  2. Step 2: Convert to fraction form
    18,474/27,702.80 = 5,323.36/x
  3. Step 3: Cross multiply
    18,474x = 27,702.80 × 5,323.36
  4. Step 4: Simplify right side
    18,474x = 147,471,977.41
  5. Step 5: Solve for x
    x = 147,471,977.41/18,474
  6. Step 6: Final answer
    x = 7,982.68

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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.