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Finding the Fourth Proportional to 20,173.70, 30,224.10 and 16,455.80

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Solution

The fourth proportional to 20,173.70, 30,224.10 and 16,455.80 is: 24,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.70 : 30,224.10 = 16,455.80 : x
  2. Step 2: Convert to fraction form
    20,173.70/30,224.10 = 16,455.80/x
  3. Step 3: Cross multiply
    20,173.70x = 30,224.10 × 16,455.80
  4. Step 4: Simplify right side
    20,173.70x = 497,361,744.78
  5. Step 5: Solve for x
    x = 497,361,744.78/20,173.70
  6. Step 6: Final answer
    x = 24,653.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.