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Finding the Fourth Proportional to 20,209.99, 27,890.64 and 11,257.49

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Solution

The fourth proportional to 20,209.99, 27,890.64 and 11,257.49 is: 15,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.99 : 27,890.64 = 11,257.49 : x
  2. Step 2: Convert to fraction form
    20,209.99/27,890.64 = 11,257.49/x
  3. Step 3: Cross multiply
    20,209.99x = 27,890.64 × 11,257.49
  4. Step 4: Simplify right side
    20,209.99x = 313,978,670.62
  5. Step 5: Solve for x
    x = 313,978,670.62/20,209.99
  6. Step 6: Final answer
    x = 15,535.82

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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.