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Finding the Fourth Proportional to 18,542.80, 27,815.40 and 9,794.80

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Solution

The fourth proportional to 18,542.80, 27,815.40 and 9,794.80 is: 14,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.80 : 27,815.40 = 9,794.80 : x
  2. Step 2: Convert to fraction form
    18,542.80/27,815.40 = 9,794.80/x
  3. Step 3: Cross multiply
    18,542.80x = 27,815.40 × 9,794.80
  4. Step 4: Simplify right side
    18,542.80x = 272,446,279.92
  5. Step 5: Solve for x
    x = 272,446,279.92/18,542.80
  6. Step 6: Final answer
    x = 14,692.83

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1.5x scale

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.