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Finding the Fourth Proportional to 30,208, 41,688.21 and 16,780.27

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Solution

The fourth proportional to 30,208, 41,688.21 and 16,780.27 is: 23,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208 : 41,688.21 = 16,780.27 : x
  2. Step 2: Convert to fraction form
    30,208/41,688.21 = 16,780.27/x
  3. Step 3: Cross multiply
    30,208x = 41,688.21 × 16,780.27
  4. Step 4: Simplify right side
    30,208x = 699,539,419.62
  5. Step 5: Solve for x
    x = 699,539,419.62/30,208
  6. Step 6: Final answer
    x = 23,157.42

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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.