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Finding the Fourth Proportional to 17,855.83, 26,771.39 and 7,855.77

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Solution

The fourth proportional to 17,855.83, 26,771.39 and 7,855.77 is: 11,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.83 : 26,771.39 = 7,855.77 : x
  2. Step 2: Convert to fraction form
    17,855.83/26,771.39 = 7,855.77/x
  3. Step 3: Cross multiply
    17,855.83x = 26,771.39 × 7,855.77
  4. Step 4: Simplify right side
    17,855.83x = 210,309,882.42
  5. Step 5: Solve for x
    x = 210,309,882.42/17,855.83
  6. Step 6: Final answer
    x = 11,778.22

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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.