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Finding the Fourth Proportional to 20,057.99, 27,678.17 and 11,105.06

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Solution

The fourth proportional to 20,057.99, 27,678.17 and 11,105.06 is: 15,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.99 : 27,678.17 = 11,105.06 : x
  2. Step 2: Convert to fraction form
    20,057.99/27,678.17 = 11,105.06/x
  3. Step 3: Cross multiply
    20,057.99x = 27,678.17 × 11,105.06
  4. Step 4: Simplify right side
    20,057.99x = 307,367,627.91
  5. Step 5: Solve for x
    x = 307,367,627.91/20,057.99
  6. Step 6: Final answer
    x = 15,323.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.