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Finding the Fourth Proportional to 30,039, 41,453.84 and 16,791

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Solution

The fourth proportional to 30,039, 41,453.84 and 16,791 is: 23,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,039 : 41,453.84 = 16,791 : x
  2. Step 2: Convert to fraction form
    30,039/41,453.84 = 16,791/x
  3. Step 3: Cross multiply
    30,039x = 41,453.84 × 16,791
  4. Step 4: Simplify right side
    30,039x = 696,051,427.44
  5. Step 5: Solve for x
    x = 696,051,427.44/30,039
  6. Step 6: Final answer
    x = 23,171.59

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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.