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Finding the Fourth Proportional to 20,019.12, 27,628.92 and 11,634

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Solution

The fourth proportional to 20,019.12, 27,628.92 and 11,634 is: 16,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019.12 : 27,628.92 = 11,634 : x
  2. Step 2: Convert to fraction form
    20,019.12/27,628.92 = 11,634/x
  3. Step 3: Cross multiply
    20,019.12x = 27,628.92 × 11,634
  4. Step 4: Simplify right side
    20,019.12x = 321,434,855.28
  5. Step 5: Solve for x
    x = 321,434,855.28/20,019.12
  6. Step 6: Final answer
    x = 16,056.39

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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.