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Finding the Fourth Proportional to 20,165.78, 27,828.81 and 11,213.19

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Solution

The fourth proportional to 20,165.78, 27,828.81 and 11,213.19 is: 15,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.78 : 27,828.81 = 11,213.19 : x
  2. Step 2: Convert to fraction form
    20,165.78/27,828.81 = 11,213.19/x
  3. Step 3: Cross multiply
    20,165.78x = 27,828.81 × 11,213.19
  4. Step 4: Simplify right side
    20,165.78x = 312,049,734.00
  5. Step 5: Solve for x
    x = 312,049,734.00/20,165.78
  6. Step 6: Final answer
    x = 15,474.22

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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.