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Finding the Fourth Proportional to 7,857.99, 11,789.01 and 2,311.52

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Solution

The fourth proportional to 7,857.99, 11,789.01 and 2,311.52 is: 3,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.99 : 11,789.01 = 2,311.52 : x
  2. Step 2: Convert to fraction form
    7,857.99/11,789.01 = 2,311.52/x
  3. Step 3: Cross multiply
    7,857.99x = 11,789.01 × 2,311.52
  4. Step 4: Simplify right side
    7,857.99x = 27,250,473.45
  5. Step 5: Solve for x
    x = 27,250,473.45/7,857.99
  6. Step 6: Final answer
    x = 3,467.87

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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.