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Finding the Fourth Proportional to 20,164.64, 27,828.22 and 11,212.32

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Solution

The fourth proportional to 20,164.64, 27,828.22 and 11,212.32 is: 15,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.64 : 27,828.22 = 11,212.32 : x
  2. Step 2: Convert to fraction form
    20,164.64/27,828.22 = 11,212.32/x
  3. Step 3: Cross multiply
    20,164.64x = 27,828.22 × 11,212.32
  4. Step 4: Simplify right side
    20,164.64x = 312,018,907.67
  5. Step 5: Solve for x
    x = 312,018,907.67/20,164.64
  6. Step 6: Final answer
    x = 15,473.57

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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.