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Finding the Fourth Proportional to 20,226, 27,912.02 and 11,274.08

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Solution

The fourth proportional to 20,226, 27,912.02 and 11,274.08 is: 15,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226 : 27,912.02 = 11,274.08 : x
  2. Step 2: Convert to fraction form
    20,226/27,912.02 = 11,274.08/x
  3. Step 3: Cross multiply
    20,226x = 27,912.02 × 11,274.08
  4. Step 4: Simplify right side
    20,226x = 314,682,150.51
  5. Step 5: Solve for x
    x = 314,682,150.51/20,226
  6. Step 6: Final answer
    x = 15,558.30

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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.