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Finding the Fourth Proportional to 20,153.70, 27,811.91 and 11,201.03

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Solution

The fourth proportional to 20,153.70, 27,811.91 and 11,201.03 is: 15,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.70 : 27,811.91 = 11,201.03 : x
  2. Step 2: Convert to fraction form
    20,153.70/27,811.91 = 11,201.03/x
  3. Step 3: Cross multiply
    20,153.70x = 27,811.91 × 11,201.03
  4. Step 4: Simplify right side
    20,153.70x = 311,521,843.20
  5. Step 5: Solve for x
    x = 311,521,843.20/20,153.70
  6. Step 6: Final answer
    x = 15,457.30

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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.