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Finding the Fourth Proportional to 20,183, 27,853.45 and 16,820.20

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Solution

The fourth proportional to 20,183, 27,853.45 and 16,820.20 is: 23,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183 : 27,853.45 = 16,820.20 : x
  2. Step 2: Convert to fraction form
    20,183/27,853.45 = 16,820.20/x
  3. Step 3: Cross multiply
    20,183x = 27,853.45 × 16,820.20
  4. Step 4: Simplify right side
    20,183x = 468,500,599.69
  5. Step 5: Solve for x
    x = 468,500,599.69/20,183
  6. Step 6: Final answer
    x = 23,212.63

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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.