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Finding the Fourth Proportional to 20,163.60, 27,824.40 and 11,210.40

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Solution

The fourth proportional to 20,163.60, 27,824.40 and 11,210.40 is: 15,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.60 : 27,824.40 = 11,210.40 : x
  2. Step 2: Convert to fraction form
    20,163.60/27,824.40 = 11,210.40/x
  3. Step 3: Cross multiply
    20,163.60x = 27,824.40 × 11,210.40
  4. Step 4: Simplify right side
    20,163.60x = 311,922,653.76
  5. Step 5: Solve for x
    x = 311,922,653.76/20,163.60
  6. Step 6: Final answer
    x = 15,469.59

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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.