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Finding the Fourth Proportional to 30,000.50, 41,400.71 and 16,388.73

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Solution

The fourth proportional to 30,000.50, 41,400.71 and 16,388.73 is: 22,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.50 : 41,400.71 = 16,388.73 : x
  2. Step 2: Convert to fraction form
    30,000.50/41,400.71 = 16,388.73/x
  3. Step 3: Cross multiply
    30,000.50x = 41,400.71 × 16,388.73
  4. Step 4: Simplify right side
    30,000.50x = 678,505,098.97
  5. Step 5: Solve for x
    x = 678,505,098.97/30,000.50
  6. Step 6: Final answer
    x = 22,616.46

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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.