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Finding the Fourth Proportional to 30,055, 41,475.90 and 16,807

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Solution

The fourth proportional to 30,055, 41,475.90 and 16,807 is: 23,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055 : 41,475.90 = 16,807 : x
  2. Step 2: Convert to fraction form
    30,055/41,475.90 = 16,807/x
  3. Step 3: Cross multiply
    30,055x = 41,475.90 × 16,807
  4. Step 4: Simplify right side
    30,055x = 697,085,451.30
  5. Step 5: Solve for x
    x = 697,085,451.30/30,055
  6. Step 6: Final answer
    x = 23,193.66

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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.